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Simplifying 7 + 4(1 + -4a) = -12 + 7a 7 + (1 * 4 + -4a * 4) = -12 + 7a 7 + (4 + -16a) = -12 + 7a Combine like terms: 7 + 4 = 11 11 + -16a = -12 + 7a Solving 11 + -16a = -12 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 11 + -16a + -7a = -12 + 7a + -7a Combine like terms: -16a + -7a = -23a 11 + -23a = -12 + 7a + -7a Combine like terms: 7a + -7a = 0 11 + -23a = -12 + 0 11 + -23a = -12 Add '-11' to each side of the equation. 11 + -11 + -23a = -12 + -11 Combine like terms: 11 + -11 = 0 0 + -23a = -12 + -11 -23a = -12 + -11 Combine like terms: -12 + -11 = -23 -23a = -23 Divide each side by '-23'. a = 1 Simplifying a = 1
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