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Simplifying 7(a + -5) + 12 = 3(a + -5) Reorder the terms: 7(-5 + a) + 12 = 3(a + -5) (-5 * 7 + a * 7) + 12 = 3(a + -5) (-35 + 7a) + 12 = 3(a + -5) Reorder the terms: -35 + 12 + 7a = 3(a + -5) Combine like terms: -35 + 12 = -23 -23 + 7a = 3(a + -5) Reorder the terms: -23 + 7a = 3(-5 + a) -23 + 7a = (-5 * 3 + a * 3) -23 + 7a = (-15 + 3a) Solving -23 + 7a = -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. -23 + 7a + -3a = -15 + 3a + -3a Combine like terms: 7a + -3a = 4a -23 + 4a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -23 + 4a = -15 + 0 -23 + 4a = -15 Add '23' to each side of the equation. -23 + 23 + 4a = -15 + 23 Combine like terms: -23 + 23 = 0 0 + 4a = -15 + 23 4a = -15 + 23 Combine like terms: -15 + 23 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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