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Simplifying 3(2a + -9) + 7 = 4(a + -6) + -12 Reorder the terms: 3(-9 + 2a) + 7 = 4(a + -6) + -12 (-9 * 3 + 2a * 3) + 7 = 4(a + -6) + -12 (-27 + 6a) + 7 = 4(a + -6) + -12 Reorder the terms: -27 + 7 + 6a = 4(a + -6) + -12 Combine like terms: -27 + 7 = -20 -20 + 6a = 4(a + -6) + -12 Reorder the terms: -20 + 6a = 4(-6 + a) + -12 -20 + 6a = (-6 * 4 + a * 4) + -12 -20 + 6a = (-24 + 4a) + -12 Reorder the terms: -20 + 6a = -24 + -12 + 4a Combine like terms: -24 + -12 = -36 -20 + 6a = -36 + 4a Solving -20 + 6a = -36 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -20 + 6a + -4a = -36 + 4a + -4a Combine like terms: 6a + -4a = 2a -20 + 2a = -36 + 4a + -4a Combine like terms: 4a + -4a = 0 -20 + 2a = -36 + 0 -20 + 2a = -36 Add '20' to each side of the equation. -20 + 20 + 2a = -36 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = -36 + 20 2a = -36 + 20 Combine like terms: -36 + 20 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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