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Simplifying 3(a + -10) + 6 = -12(a + -3) Reorder the terms: 3(-10 + a) + 6 = -12(a + -3) (-10 * 3 + a * 3) + 6 = -12(a + -3) (-30 + 3a) + 6 = -12(a + -3) Reorder the terms: -30 + 6 + 3a = -12(a + -3) Combine like terms: -30 + 6 = -24 -24 + 3a = -12(a + -3) Reorder the terms: -24 + 3a = -12(-3 + a) -24 + 3a = (-3 * -12 + a * -12) -24 + 3a = (36 + -12a) Solving -24 + 3a = 36 + -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. -24 + 3a + 12a = 36 + -12a + 12a Combine like terms: 3a + 12a = 15a -24 + 15a = 36 + -12a + 12a Combine like terms: -12a + 12a = 0 -24 + 15a = 36 + 0 -24 + 15a = 36 Add '24' to each side of the equation. -24 + 24 + 15a = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 15a = 36 + 24 15a = 36 + 24 Combine like terms: 36 + 24 = 60 15a = 60 Divide each side by '15'. a = 4 Simplifying a = 4
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