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Simplifying 3 + -3(a + 2) = 2(a + -4) Reorder the terms: 3 + -3(2 + a) = 2(a + -4) 3 + (2 * -3 + a * -3) = 2(a + -4) 3 + (-6 + -3a) = 2(a + -4) Combine like terms: 3 + -6 = -3 -3 + -3a = 2(a + -4) Reorder the terms: -3 + -3a = 2(-4 + a) -3 + -3a = (-4 * 2 + a * 2) -3 + -3a = (-8 + 2a) Solving -3 + -3a = -8 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -3 + -3a + -2a = -8 + 2a + -2a Combine like terms: -3a + -2a = -5a -3 + -5a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -3 + -5a = -8 + 0 -3 + -5a = -8 Add '3' to each side of the equation. -3 + 3 + -5a = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -5a = -8 + 3 -5a = -8 + 3 Combine like terms: -8 + 3 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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