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Simplifying 8(a + -1) = 2 + 3(a + -5) Reorder the terms: 8(-1 + a) = 2 + 3(a + -5) (-1 * 8 + a * 8) = 2 + 3(a + -5) (-8 + 8a) = 2 + 3(a + -5) Reorder the terms: -8 + 8a = 2 + 3(-5 + a) -8 + 8a = 2 + (-5 * 3 + a * 3) -8 + 8a = 2 + (-15 + 3a) Combine like terms: 2 + -15 = -13 -8 + 8a = -13 + 3a Solving -8 + 8a = -13 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + 8a + -3a = -13 + 3a + -3a Combine like terms: 8a + -3a = 5a -8 + 5a = -13 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 5a = -13 + 0 -8 + 5a = -13 Add '8' to each side of the equation. -8 + 8 + 5a = -13 + 8 Combine like terms: -8 + 8 = 0 0 + 5a = -13 + 8 5a = -13 + 8 Combine like terms: -13 + 8 = -5 5a = -5 Divide each side by '5'. a = -1 Simplifying a = -1
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