4a-10=2(a+1)+15a+2

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Solution for 4a-10=2(a+1)+15a+2 equation:


Simplifying
4a + -10 = 2(a + 1) + 15a + 2

Reorder the terms:
-10 + 4a = 2(a + 1) + 15a + 2

Reorder the terms:
-10 + 4a = 2(1 + a) + 15a + 2
-10 + 4a = (1 * 2 + a * 2) + 15a + 2
-10 + 4a = (2 + 2a) + 15a + 2

Reorder the terms:
-10 + 4a = 2 + 2 + 2a + 15a

Combine like terms: 2 + 2 = 4
-10 + 4a = 4 + 2a + 15a

Combine like terms: 2a + 15a = 17a
-10 + 4a = 4 + 17a

Solving
-10 + 4a = 4 + 17a

Solving for variable 'a'.

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

Add '-17a' to each side of the equation.
-10 + 4a + -17a = 4 + 17a + -17a

Combine like terms: 4a + -17a = -13a
-10 + -13a = 4 + 17a + -17a

Combine like terms: 17a + -17a = 0
-10 + -13a = 4 + 0
-10 + -13a = 4

Add '10' to each side of the equation.
-10 + 10 + -13a = 4 + 10

Combine like terms: -10 + 10 = 0
0 + -13a = 4 + 10
-13a = 4 + 10

Combine like terms: 4 + 10 = 14
-13a = 14

Divide each side by '-13'.
a = -1.076923077

Simplifying
a = -1.076923077

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