5(a-15)+2(a+44)=a-2

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Solution for 5(a-15)+2(a+44)=a-2 equation:


Simplifying
5(a + -15) + 2(a + 44) = a + -2

Reorder the terms:
5(-15 + a) + 2(a + 44) = a + -2
(-15 * 5 + a * 5) + 2(a + 44) = a + -2
(-75 + 5a) + 2(a + 44) = a + -2

Reorder the terms:
-75 + 5a + 2(44 + a) = a + -2
-75 + 5a + (44 * 2 + a * 2) = a + -2
-75 + 5a + (88 + 2a) = a + -2

Reorder the terms:
-75 + 88 + 5a + 2a = a + -2

Combine like terms: -75 + 88 = 13
13 + 5a + 2a = a + -2

Combine like terms: 5a + 2a = 7a
13 + 7a = a + -2

Reorder the terms:
13 + 7a = -2 + a

Solving
13 + 7a = -2 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
13 + 7a + -1a = -2 + a + -1a

Combine like terms: 7a + -1a = 6a
13 + 6a = -2 + a + -1a

Combine like terms: a + -1a = 0
13 + 6a = -2 + 0
13 + 6a = -2

Add '-13' to each side of the equation.
13 + -13 + 6a = -2 + -13

Combine like terms: 13 + -13 = 0
0 + 6a = -2 + -13
6a = -2 + -13

Combine like terms: -2 + -13 = -15
6a = -15

Divide each side by '6'.
a = -2.5

Simplifying
a = -2.5

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