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Simplifying a + -15 = -4(-6 + 3a) Reorder the terms: -15 + a = -4(-6 + 3a) -15 + a = (-6 * -4 + 3a * -4) -15 + a = (24 + -12a) Solving -15 + a = 24 + -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. -15 + a + 12a = 24 + -12a + 12a Combine like terms: a + 12a = 13a -15 + 13a = 24 + -12a + 12a Combine like terms: -12a + 12a = 0 -15 + 13a = 24 + 0 -15 + 13a = 24 Add '15' to each side of the equation. -15 + 15 + 13a = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 13a = 24 + 15 13a = 24 + 15 Combine like terms: 24 + 15 = 39 13a = 39 Divide each side by '13'. a = 3 Simplifying a = 3
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