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Simplifying -3(6 + -5a) = 7a + 30 (6 * -3 + -5a * -3) = 7a + 30 (-18 + 15a) = 7a + 30 Reorder the terms: -18 + 15a = 30 + 7a Solving -18 + 15a = 30 + 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. -18 + 15a + -7a = 30 + 7a + -7a Combine like terms: 15a + -7a = 8a -18 + 8a = 30 + 7a + -7a Combine like terms: 7a + -7a = 0 -18 + 8a = 30 + 0 -18 + 8a = 30 Add '18' to each side of the equation. -18 + 18 + 8a = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 8a = 30 + 18 8a = 30 + 18 Combine like terms: 30 + 18 = 48 8a = 48 Divide each side by '8'. a = 6 Simplifying a = 6
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