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Simplifying 7(a + -8) + 32 = 5(a + -4) Reorder the terms: 7(-8 + a) + 32 = 5(a + -4) (-8 * 7 + a * 7) + 32 = 5(a + -4) (-56 + 7a) + 32 = 5(a + -4) Reorder the terms: -56 + 32 + 7a = 5(a + -4) Combine like terms: -56 + 32 = -24 -24 + 7a = 5(a + -4) Reorder the terms: -24 + 7a = 5(-4 + a) -24 + 7a = (-4 * 5 + a * 5) -24 + 7a = (-20 + 5a) Solving -24 + 7a = -20 + 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. -24 + 7a + -5a = -20 + 5a + -5a Combine like terms: 7a + -5a = 2a -24 + 2a = -20 + 5a + -5a Combine like terms: 5a + -5a = 0 -24 + 2a = -20 + 0 -24 + 2a = -20 Add '24' to each side of the equation. -24 + 24 + 2a = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 2a = -20 + 24 2a = -20 + 24 Combine like terms: -20 + 24 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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