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Simplifying 1 + -4(a + 1) = 7 + 9 Reorder the terms: 1 + -4(1 + a) = 7 + 9 1 + (1 * -4 + a * -4) = 7 + 9 1 + (-4 + -4a) = 7 + 9 Combine like terms: 1 + -4 = -3 -3 + -4a = 7 + 9 Combine like terms: 7 + 9 = 16 -3 + -4a = 16 Solving -3 + -4a = 16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4a = 16 + 3 Combine like terms: -3 + 3 = 0 0 + -4a = 16 + 3 -4a = 16 + 3 Combine like terms: 16 + 3 = 19 -4a = 19 Divide each side by '-4'. a = -4.75 Simplifying a = -4.75
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