14=-4(5+5a)+6(8+a)

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Solution for 14=-4(5+5a)+6(8+a) equation:


Simplifying
14 = -4(5 + 5a) + 6(8 + a)
14 = (5 * -4 + 5a * -4) + 6(8 + a)
14 = (-20 + -20a) + 6(8 + a)
14 = -20 + -20a + (8 * 6 + a * 6)
14 = -20 + -20a + (48 + 6a)

Reorder the terms:
14 = -20 + 48 + -20a + 6a

Combine like terms: -20 + 48 = 28
14 = 28 + -20a + 6a

Combine like terms: -20a + 6a = -14a
14 = 28 + -14a

Solving
14 = 28 + -14a

Solving for variable 'a'.

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

Add '14a' to each side of the equation.
14 + 14a = 28 + -14a + 14a

Combine like terms: -14a + 14a = 0
14 + 14a = 28 + 0
14 + 14a = 28

Add '-14' to each side of the equation.
14 + -14 + 14a = 28 + -14

Combine like terms: 14 + -14 = 0
0 + 14a = 28 + -14
14a = 28 + -14

Combine like terms: 28 + -14 = 14
14a = 14

Divide each side by '14'.
a = 1

Simplifying
a = 1

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