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Simplifying 3(a + -4) = 5(a + 2) Reorder the terms: 3(-4 + a) = 5(a + 2) (-4 * 3 + a * 3) = 5(a + 2) (-12 + 3a) = 5(a + 2) Reorder the terms: -12 + 3a = 5(2 + a) -12 + 3a = (2 * 5 + a * 5) -12 + 3a = (10 + 5a) Solving -12 + 3a = 10 + 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 = 10 + 5a + -5a Combine like terms: 3a + -5a = -2a -12 + -2a = 10 + 5a + -5a Combine like terms: 5a + -5a = 0 -12 + -2a = 10 + 0 -12 + -2a = 10 Add '12' to each side of the equation. -12 + 12 + -2a = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -2a = 10 + 12 -2a = 10 + 12 Combine like terms: 10 + 12 = 22 -2a = 22 Divide each side by '-2'. a = -11 Simplifying a = -11
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