17+2(4)-4(5)=4(a-7)-3

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Solution for 17+2(4)-4(5)=4(a-7)-3 equation:


Simplifying
17 + 2(4) + -4(5) = 4(a + -7) + -3

Multiply 2 * 4
17 + 8 + -4(5) = 4(a + -7) + -3

Multiply -4 * 5
17 + 8 + -20 = 4(a + -7) + -3

Combine like terms: 17 + 8 = 25
25 + -20 = 4(a + -7) + -3

Combine like terms: 25 + -20 = 5
5 = 4(a + -7) + -3

Reorder the terms:
5 = 4(-7 + a) + -3
5 = (-7 * 4 + a * 4) + -3
5 = (-28 + 4a) + -3

Reorder the terms:
5 = -28 + -3 + 4a

Combine like terms: -28 + -3 = -31
5 = -31 + 4a

Solving
5 = -31 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
5 + -4a = -31 + 4a + -4a

Combine like terms: 4a + -4a = 0
5 + -4a = -31 + 0
5 + -4a = -31

Add '-5' to each side of the equation.
5 + -5 + -4a = -31 + -5

Combine like terms: 5 + -5 = 0
0 + -4a = -31 + -5
-4a = -31 + -5

Combine like terms: -31 + -5 = -36
-4a = -36

Divide each side by '-4'.
a = 9

Simplifying
a = 9

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