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Simplifying 3(a + -3) = 2(a + -4) Reorder the terms: 3(-3 + a) = 2(a + -4) (-3 * 3 + a * 3) = 2(a + -4) (-9 + 3a) = 2(a + -4) Reorder the terms: -9 + 3a = 2(-4 + a) -9 + 3a = (-4 * 2 + a * 2) -9 + 3a = (-8 + 2a) Solving -9 + 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. -9 + 3a + -2a = -8 + 2a + -2a Combine like terms: 3a + -2a = 1a -9 + 1a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -9 + 1a = -8 + 0 -9 + 1a = -8 Add '9' to each side of the equation. -9 + 9 + 1a = -8 + 9 Combine like terms: -9 + 9 = 0 0 + 1a = -8 + 9 1a = -8 + 9 Combine like terms: -8 + 9 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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