Write an algebraic expression for the word phrase.
the difference between a number q and 8
Solve each equation. Show all steps.
x+5=−2
3a+2 − 5a=−14
n5=13
Simplify the expression. Show all steps
53+(−12)+(−4t)
Solve the literal equation for x. Show all steps.
4(x − b)=x
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1. Algebraic expression: q - 8
2. Solving x + 5 = -2:
x + 5 - 5 = -2 - 5
x = -7
3. Solving 3a + 2 - 5a = -14:
-2a + 2 = -14
-2a + 2 - 2 = -14 - 2
-2a = -16
a = 8
4. Solving n/5 = 13:
n = 13 * 5
n = 65
5. Simplifying the expression 53 + (-12) + (-4t):
53 - 12 - 4t
41 - 4t
6. Solving the literal equation for x in 4(x - b) = x:
4x - 4b = x
4x - x = 4b
3x = 4b
x = (4b)/3