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Simplifying 1 + -2a + -8a = -5(a + 5) + -2(a + -1) Combine like terms: -2a + -8a = -10a 1 + -10a = -5(a + 5) + -2(a + -1) Reorder the terms: 1 + -10a = -5(5 + a) + -2(a + -1) 1 + -10a = (5 * -5 + a * -5) + -2(a + -1) 1 + -10a = (-25 + -5a) + -2(a + -1) Reorder the terms: 1 + -10a = -25 + -5a + -2(-1 + a) 1 + -10a = -25 + -5a + (-1 * -2 + a * -2) 1 + -10a = -25 + -5a + (2 + -2a) Reorder the terms: 1 + -10a = -25 + 2 + -5a + -2a Combine like terms: -25 + 2 = -23 1 + -10a = -23 + -5a + -2a Combine like terms: -5a + -2a = -7a 1 + -10a = -23 + -7a Solving 1 + -10a = -23 + -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. 1 + -10a + 7a = -23 + -7a + 7a Combine like terms: -10a + 7a = -3a 1 + -3a = -23 + -7a + 7a Combine like terms: -7a + 7a = 0 1 + -3a = -23 + 0 1 + -3a = -23 Add '-1' to each side of the equation. 1 + -1 + -3a = -23 + -1 Combine like terms: 1 + -1 = 0 0 + -3a = -23 + -1 -3a = -23 + -1 Combine like terms: -23 + -1 = -24 -3a = -24 Divide each side by '-3'. a = 8 Simplifying a = 8
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