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Simplifying 7 + -1(a + -3) = 3(2a + -6) Reorder the terms: 7 + -1(-3 + a) = 3(2a + -6) 7 + (-3 * -1 + a * -1) = 3(2a + -6) 7 + (3 + -1a) = 3(2a + -6) Combine like terms: 7 + 3 = 10 10 + -1a = 3(2a + -6) Reorder the terms: 10 + -1a = 3(-6 + 2a) 10 + -1a = (-6 * 3 + 2a * 3) 10 + -1a = (-18 + 6a) Solving 10 + -1a = -18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 10 + -1a + -6a = -18 + 6a + -6a Combine like terms: -1a + -6a = -7a 10 + -7a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 10 + -7a = -18 + 0 10 + -7a = -18 Add '-10' to each side of the equation. 10 + -10 + -7a = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -7a = -18 + -10 -7a = -18 + -10 Combine like terms: -18 + -10 = -28 -7a = -28 Divide each side by '-7'. a = 4 Simplifying a = 4
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