7(a-5)+16(a-7)=

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Solution for 7(a-5)+16(a-7)= equation:


Simplifying
7(a + -5) + 16(a + -7) = 0

Reorder the terms:
7(-5 + a) + 16(a + -7) = 0
(-5 * 7 + a * 7) + 16(a + -7) = 0
(-35 + 7a) + 16(a + -7) = 0

Reorder the terms:
-35 + 7a + 16(-7 + a) = 0
-35 + 7a + (-7 * 16 + a * 16) = 0
-35 + 7a + (-112 + 16a) = 0

Reorder the terms:
-35 + -112 + 7a + 16a = 0

Combine like terms: -35 + -112 = -147
-147 + 7a + 16a = 0

Combine like terms: 7a + 16a = 23a
-147 + 23a = 0

Solving
-147 + 23a = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '147' to each side of the equation.
-147 + 147 + 23a = 0 + 147

Combine like terms: -147 + 147 = 0
0 + 23a = 0 + 147
23a = 0 + 147

Combine like terms: 0 + 147 = 147
23a = 147

Divide each side by '23'.
a = 6.391304348

Simplifying
a = 6.391304348

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