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Simplifying 6(a + -8) = -12(a + -11) Reorder the terms: 6(-8 + a) = -12(a + -11) (-8 * 6 + a * 6) = -12(a + -11) (-48 + 6a) = -12(a + -11) Reorder the terms: -48 + 6a = -12(-11 + a) -48 + 6a = (-11 * -12 + a * -12) -48 + 6a = (132 + -12a) Solving -48 + 6a = 132 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -48 + 6a + 12a = 132 + -12a + 12a Combine like terms: 6a + 12a = 18a -48 + 18a = 132 + -12a + 12a Combine like terms: -12a + 12a = 0 -48 + 18a = 132 + 0 -48 + 18a = 132 Add '48' to each side of the equation. -48 + 48 + 18a = 132 + 48 Combine like terms: -48 + 48 = 0 0 + 18a = 132 + 48 18a = 132 + 48 Combine like terms: 132 + 48 = 180 18a = 180 Divide each side by '18'. a = 10 Simplifying a = 10
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