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Simplifying 8(a + -6) + 3(7 + 8a) = 1 + 5a + -1 Reorder the terms: 8(-6 + a) + 3(7 + 8a) = 1 + 5a + -1 (-6 * 8 + a * 8) + 3(7 + 8a) = 1 + 5a + -1 (-48 + 8a) + 3(7 + 8a) = 1 + 5a + -1 -48 + 8a + (7 * 3 + 8a * 3) = 1 + 5a + -1 -48 + 8a + (21 + 24a) = 1 + 5a + -1 Reorder the terms: -48 + 21 + 8a + 24a = 1 + 5a + -1 Combine like terms: -48 + 21 = -27 -27 + 8a + 24a = 1 + 5a + -1 Combine like terms: 8a + 24a = 32a -27 + 32a = 1 + 5a + -1 Reorder the terms: -27 + 32a = 1 + -1 + 5a Combine like terms: 1 + -1 = 0 -27 + 32a = 0 + 5a -27 + 32a = 5a Solving -27 + 32a = 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. -27 + 32a + -5a = 5a + -5a Combine like terms: 32a + -5a = 27a -27 + 27a = 5a + -5a Combine like terms: 5a + -5a = 0 -27 + 27a = 0 Add '27' to each side of the equation. -27 + 27 + 27a = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 27a = 0 + 27 27a = 0 + 27 Combine like terms: 0 + 27 = 27 27a = 27 Divide each side by '27'. a = 1 Simplifying a = 1
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