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Simplifying -5(a + 6) = 10(a + -12) Reorder the terms: -5(6 + a) = 10(a + -12) (6 * -5 + a * -5) = 10(a + -12) (-30 + -5a) = 10(a + -12) Reorder the terms: -30 + -5a = 10(-12 + a) -30 + -5a = (-12 * 10 + a * 10) -30 + -5a = (-120 + 10a) Solving -30 + -5a = -120 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -30 + -5a + -10a = -120 + 10a + -10a Combine like terms: -5a + -10a = -15a -30 + -15a = -120 + 10a + -10a Combine like terms: 10a + -10a = 0 -30 + -15a = -120 + 0 -30 + -15a = -120 Add '30' to each side of the equation. -30 + 30 + -15a = -120 + 30 Combine like terms: -30 + 30 = 0 0 + -15a = -120 + 30 -15a = -120 + 30 Combine like terms: -120 + 30 = -90 -15a = -90 Divide each side by '-15'. a = 6 Simplifying a = 6
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