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Simplifying 6 + -4(a + 1) = 7 + 1 Reorder the terms: 6 + -4(1 + a) = 7 + 1 6 + (1 * -4 + a * -4) = 7 + 1 6 + (-4 + -4a) = 7 + 1 Combine like terms: 6 + -4 = 2 2 + -4a = 7 + 1 Combine like terms: 7 + 1 = 8 2 + -4a = 8 Solving 2 + -4a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -4a = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -4a = 8 + -2 -4a = 8 + -2 Combine like terms: 8 + -2 = 6 -4a = 6 Divide each side by '-4'. a = -1.5 Simplifying a = -1.5
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