[7(a+5)-17]+[3(a-3)+1]=

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Solution for [7(a+5)-17]+[3(a-3)+1]= equation:


Simplifying
[7(a + 5) + -17] + [3(a + -3) + 1] = 0

Reorder the terms:
[7(5 + a) + -17] + [3(a + -3) + 1] = 0
[(5 * 7 + a * 7) + -17] + [3(a + -3) + 1] = 0
[(35 + 7a) + -17] + [3(a + -3) + 1] = 0

Reorder the terms:
[35 + -17 + 7a] + [3(a + -3) + 1] = 0

Combine like terms: 35 + -17 = 18
[18 + 7a] + [3(a + -3) + 1] = 0

Remove brackets around [18 + 7a]
18 + 7a + [3(a + -3) + 1] = 0

Reorder the terms:
18 + 7a + [3(-3 + a) + 1] = 0
18 + 7a + [(-3 * 3 + a * 3) + 1] = 0
18 + 7a + [(-9 + 3a) + 1] = 0

Reorder the terms:
18 + 7a + [-9 + 1 + 3a] = 0

Combine like terms: -9 + 1 = -8
18 + 7a + [-8 + 3a] = 0

Remove brackets around [-8 + 3a]
18 + 7a + -8 + 3a = 0

Reorder the terms:
18 + -8 + 7a + 3a = 0

Combine like terms: 18 + -8 = 10
10 + 7a + 3a = 0

Combine like terms: 7a + 3a = 10a
10 + 10a = 0

Solving
10 + 10a = 0

Solving for variable 'a'.

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

Add '-10' to each side of the equation.
10 + -10 + 10a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 10a = 0 + -10
10a = 0 + -10

Combine like terms: 0 + -10 = -10
10a = -10

Divide each side by '10'.
a = -1

Simplifying
a = -1

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