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Simplifying 3a(6 + -7) + a + -12 = -1(a + -5) Combine like terms: 6 + -7 = -1 3a(-1) + a + -12 = -1(a + -5) Reorder the terms for easier multiplication: 3 * -1a + a + -12 = -1(a + -5) Multiply 3 * -1 -3a + a + -12 = -1(a + -5) Reorder the terms: -12 + -3a + a = -1(a + -5) Combine like terms: -3a + a = -2a -12 + -2a = -1(a + -5) Reorder the terms: -12 + -2a = -1(-5 + a) -12 + -2a = (-5 * -1 + a * -1) -12 + -2a = (5 + -1a) Solving -12 + -2a = 5 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -12 + -2a + a = 5 + -1a + a Combine like terms: -2a + a = -1a -12 + -1a = 5 + -1a + a Combine like terms: -1a + a = 0 -12 + -1a = 5 + 0 -12 + -1a = 5 Add '12' to each side of the equation. -12 + 12 + -1a = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = 5 + 12 -1a = 5 + 12 Combine like terms: 5 + 12 = 17 -1a = 17 Divide each side by '-1'. a = -17 Simplifying a = -17
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