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Simplifying -16 + -1a = 1 + 3(a + 1) Reorder the terms: -16 + -1a = 1 + 3(1 + a) -16 + -1a = 1 + (1 * 3 + a * 3) -16 + -1a = 1 + (3 + 3a) Combine like terms: 1 + 3 = 4 -16 + -1a = 4 + 3a Solving -16 + -1a = 4 + 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. -16 + -1a + -3a = 4 + 3a + -3a Combine like terms: -1a + -3a = -4a -16 + -4a = 4 + 3a + -3a Combine like terms: 3a + -3a = 0 -16 + -4a = 4 + 0 -16 + -4a = 4 Add '16' to each side of the equation. -16 + 16 + -4a = 4 + 16 Combine like terms: -16 + 16 = 0 0 + -4a = 4 + 16 -4a = 4 + 16 Combine like terms: 4 + 16 = 20 -4a = 20 Divide each side by '-4'. a = -5 Simplifying a = -5
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