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Simplifying 8(3 + -1a) = 7(a + -6) (3 * 8 + -1a * 8) = 7(a + -6) (24 + -8a) = 7(a + -6) Reorder the terms: 24 + -8a = 7(-6 + a) 24 + -8a = (-6 * 7 + a * 7) 24 + -8a = (-42 + 7a) Solving 24 + -8a = -42 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 24 + -8a + -7a = -42 + 7a + -7a Combine like terms: -8a + -7a = -15a 24 + -15a = -42 + 7a + -7a Combine like terms: 7a + -7a = 0 24 + -15a = -42 + 0 24 + -15a = -42 Add '-24' to each side of the equation. 24 + -24 + -15a = -42 + -24 Combine like terms: 24 + -24 = 0 0 + -15a = -42 + -24 -15a = -42 + -24 Combine like terms: -42 + -24 = -66 -15a = -66 Divide each side by '-15'. a = 4.4 Simplifying a = 4.4
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