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Simplifying 4(a + -7) + 12 = 2(a + -5) Reorder the terms: 4(-7 + a) + 12 = 2(a + -5) (-7 * 4 + a * 4) + 12 = 2(a + -5) (-28 + 4a) + 12 = 2(a + -5) Reorder the terms: -28 + 12 + 4a = 2(a + -5) Combine like terms: -28 + 12 = -16 -16 + 4a = 2(a + -5) Reorder the terms: -16 + 4a = 2(-5 + a) -16 + 4a = (-5 * 2 + a * 2) -16 + 4a = (-10 + 2a) Solving -16 + 4a = -10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -16 + 4a + -2a = -10 + 2a + -2a Combine like terms: 4a + -2a = 2a -16 + 2a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -16 + 2a = -10 + 0 -16 + 2a = -10 Add '16' to each side of the equation. -16 + 16 + 2a = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 2a = -10 + 16 2a = -10 + 16 Combine like terms: -10 + 16 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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