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Simplifying 6 + -7(a + -1) = -3(3 + a) Reorder the terms: 6 + -7(-1 + a) = -3(3 + a) 6 + (-1 * -7 + a * -7) = -3(3 + a) 6 + (7 + -7a) = -3(3 + a) Combine like terms: 6 + 7 = 13 13 + -7a = -3(3 + a) 13 + -7a = (3 * -3 + a * -3) 13 + -7a = (-9 + -3a) Solving 13 + -7a = -9 + -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. 13 + -7a + 3a = -9 + -3a + 3a Combine like terms: -7a + 3a = -4a 13 + -4a = -9 + -3a + 3a Combine like terms: -3a + 3a = 0 13 + -4a = -9 + 0 13 + -4a = -9 Add '-13' to each side of the equation. 13 + -13 + -4a = -9 + -13 Combine like terms: 13 + -13 = 0 0 + -4a = -9 + -13 -4a = -9 + -13 Combine like terms: -9 + -13 = -22 -4a = -22 Divide each side by '-4'. a = 5.5 Simplifying a = 5.5
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