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Simplifying 3(a + 4) = 5(a + -6) Reorder the terms: 3(4 + a) = 5(a + -6) (4 * 3 + a * 3) = 5(a + -6) (12 + 3a) = 5(a + -6) Reorder the terms: 12 + 3a = 5(-6 + a) 12 + 3a = (-6 * 5 + a * 5) 12 + 3a = (-30 + 5a) Solving 12 + 3a = -30 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 12 + 3a + -5a = -30 + 5a + -5a Combine like terms: 3a + -5a = -2a 12 + -2a = -30 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + -2a = -30 + 0 12 + -2a = -30 Add '-12' to each side of the equation. 12 + -12 + -2a = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = -30 + -12 -2a = -30 + -12 Combine like terms: -30 + -12 = -42 -2a = -42 Divide each side by '-2'. a = 21 Simplifying a = 21
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