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Simplifying -4(a + -1) = -10 + 3a Reorder the terms: -4(-1 + a) = -10 + 3a (-1 * -4 + a * -4) = -10 + 3a (4 + -4a) = -10 + 3a Solving 4 + -4a = -10 + 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. 4 + -4a + -3a = -10 + 3a + -3a Combine like terms: -4a + -3a = -7a 4 + -7a = -10 + 3a + -3a Combine like terms: 3a + -3a = 0 4 + -7a = -10 + 0 4 + -7a = -10 Add '-4' to each side of the equation. 4 + -4 + -7a = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7a = -10 + -4 -7a = -10 + -4 Combine like terms: -10 + -4 = -14 -7a = -14 Divide each side by '-7'. a = 2 Simplifying a = 2
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