17+8-10=4(a-7)-3

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Solution for 17+8-10=4(a-7)-3 equation: 


Simplifying
17 + 8 + -10 = 4(a + -7) + -3

Combine like terms: 17 + 8 = 25
25 + -10 = 4(a + -7) + -3

Combine like terms: 25 + -10 = 15
15 = 4(a + -7) + -3

Reorder the terms:
15 = 4(-7 + a) + -3
15 = (-7 * 4 + a * 4) + -3
15 = (-28 + 4a) + -3

Reorder the terms:
15 = -28 + -3 + 4a

Combine like terms: -28 + -3 = -31
15 = -31 + 4a

Solving
15 = -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.
15 + -4a = -31 + 4a + -4a

Combine like terms: 4a + -4a = 0
15 + -4a = -31 + 0
15 + -4a = -31

Add '-15' to each side of the equation.
15 + -15 + -4a = -31 + -15

Combine like terms: 15 + -15 = 0
0 + -4a = -31 + -15
-4a = -31 + -15

Combine like terms: -31 + -15 = -46
-4a = -46

Divide each side by '-4'.
a = 11.5

Simplifying
a = 11.5

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