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Simplifying 3(a + -4) = -6a + 15 Reorder the terms: 3(-4 + a) = -6a + 15 (-4 * 3 + a * 3) = -6a + 15 (-12 + 3a) = -6a + 15 Reorder the terms: -12 + 3a = 15 + -6a Solving -12 + 3a = 15 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -12 + 3a + 6a = 15 + -6a + 6a Combine like terms: 3a + 6a = 9a -12 + 9a = 15 + -6a + 6a Combine like terms: -6a + 6a = 0 -12 + 9a = 15 + 0 -12 + 9a = 15 Add '12' to each side of the equation. -12 + 12 + 9a = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 9a = 15 + 12 9a = 15 + 12 Combine like terms: 15 + 12 = 27 9a = 27 Divide each side by '9'. a = 3 Simplifying a = 3
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