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Simplifying 6(a + -7) + 12 = 3(a + -5) Reorder the terms: 6(-7 + a) + 12 = 3(a + -5) (-7 * 6 + a * 6) + 12 = 3(a + -5) (-42 + 6a) + 12 = 3(a + -5) Reorder the terms: -42 + 12 + 6a = 3(a + -5) Combine like terms: -42 + 12 = -30 -30 + 6a = 3(a + -5) Reorder the terms: -30 + 6a = 3(-5 + a) -30 + 6a = (-5 * 3 + a * 3) -30 + 6a = (-15 + 3a) Solving -30 + 6a = -15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -30 + 6a + -3a = -15 + 3a + -3a Combine like terms: 6a + -3a = 3a -30 + 3a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -30 + 3a = -15 + 0 -30 + 3a = -15 Add '30' to each side of the equation. -30 + 30 + 3a = -15 + 30 Combine like terms: -30 + 30 = 0 0 + 3a = -15 + 30 3a = -15 + 30 Combine like terms: -15 + 30 = 15 3a = 15 Divide each side by '3'. a = 5 Simplifying a = 5
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