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Simplifying -1(4a + 1) + -3a = 8a + 29 Reorder the terms: -1(1 + 4a) + -3a = 8a + 29 (1 * -1 + 4a * -1) + -3a = 8a + 29 (-1 + -4a) + -3a = 8a + 29 Combine like terms: -4a + -3a = -7a -1 + -7a = 8a + 29 Reorder the terms: -1 + -7a = 29 + 8a Solving -1 + -7a = 29 + 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. -1 + -7a + -8a = 29 + 8a + -8a Combine like terms: -7a + -8a = -15a -1 + -15a = 29 + 8a + -8a Combine like terms: 8a + -8a = 0 -1 + -15a = 29 + 0 -1 + -15a = 29 Add '1' to each side of the equation. -1 + 1 + -15a = 29 + 1 Combine like terms: -1 + 1 = 0 0 + -15a = 29 + 1 -15a = 29 + 1 Combine like terms: 29 + 1 = 30 -15a = 30 Divide each side by '-15'. a = -2 Simplifying a = -2
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