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Simplifying -12 = 4(a + 1) Reorder the terms: -12 = 4(1 + a) -12 = (1 * 4 + a * 4) -12 = (4 + 4a) Solving -12 = 4 + 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. -12 + -4a = 4 + 4a + -4a Combine like terms: 4a + -4a = 0 -12 + -4a = 4 + 0 -12 + -4a = 4 Add '12' to each side of the equation. -12 + 12 + -4a = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -4a = 4 + 12 -4a = 4 + 12 Combine like terms: 4 + 12 = 16 -4a = 16 Divide each side by '-4'. a = -4 Simplifying a = -4
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