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Simplifying 6(2a + -3) = 3(4 + 5a) Reorder the terms: 6(-3 + 2a) = 3(4 + 5a) (-3 * 6 + 2a * 6) = 3(4 + 5a) (-18 + 12a) = 3(4 + 5a) -18 + 12a = (4 * 3 + 5a * 3) -18 + 12a = (12 + 15a) Solving -18 + 12a = 12 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -18 + 12a + -15a = 12 + 15a + -15a Combine like terms: 12a + -15a = -3a -18 + -3a = 12 + 15a + -15a Combine like terms: 15a + -15a = 0 -18 + -3a = 12 + 0 -18 + -3a = 12 Add '18' to each side of the equation. -18 + 18 + -3a = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -3a = 12 + 18 -3a = 12 + 18 Combine like terms: 12 + 18 = 30 -3a = 30 Divide each side by '-3'. a = -10 Simplifying a = -10
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