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Simplifying 8(6 + -2a) = 5(-3a + 1) (6 * 8 + -2a * 8) = 5(-3a + 1) (48 + -16a) = 5(-3a + 1) Reorder the terms: 48 + -16a = 5(1 + -3a) 48 + -16a = (1 * 5 + -3a * 5) 48 + -16a = (5 + -15a) Solving 48 + -16a = 5 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 48 + -16a + 15a = 5 + -15a + 15a Combine like terms: -16a + 15a = -1a 48 + -1a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 48 + -1a = 5 + 0 48 + -1a = 5 Add '-48' to each side of the equation. 48 + -48 + -1a = 5 + -48 Combine like terms: 48 + -48 = 0 0 + -1a = 5 + -48 -1a = 5 + -48 Combine like terms: 5 + -48 = -43 -1a = -43 Divide each side by '-1'. a = 43 Simplifying a = 43
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