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Simplifying 5(a + -3) = 8(a + 6) Reorder the terms: 5(-3 + a) = 8(a + 6) (-3 * 5 + a * 5) = 8(a + 6) (-15 + 5a) = 8(a + 6) Reorder the terms: -15 + 5a = 8(6 + a) -15 + 5a = (6 * 8 + a * 8) -15 + 5a = (48 + 8a) Solving -15 + 5a = 48 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -15 + 5a + -8a = 48 + 8a + -8a Combine like terms: 5a + -8a = -3a -15 + -3a = 48 + 8a + -8a Combine like terms: 8a + -8a = 0 -15 + -3a = 48 + 0 -15 + -3a = 48 Add '15' to each side of the equation. -15 + 15 + -3a = 48 + 15 Combine like terms: -15 + 15 = 0 0 + -3a = 48 + 15 -3a = 48 + 15 Combine like terms: 48 + 15 = 63 -3a = 63 Divide each side by '-3'. a = -21 Simplifying a = -21
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