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Simplifying 8 + -5(2a + 5) = 6(4 + -1a) + 3 Reorder the terms: 8 + -5(5 + 2a) = 6(4 + -1a) + 3 8 + (5 * -5 + 2a * -5) = 6(4 + -1a) + 3 8 + (-25 + -10a) = 6(4 + -1a) + 3 Combine like terms: 8 + -25 = -17 -17 + -10a = 6(4 + -1a) + 3 -17 + -10a = (4 * 6 + -1a * 6) + 3 -17 + -10a = (24 + -6a) + 3 Reorder the terms: -17 + -10a = 24 + 3 + -6a Combine like terms: 24 + 3 = 27 -17 + -10a = 27 + -6a Solving -17 + -10a = 27 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -17 + -10a + 6a = 27 + -6a + 6a Combine like terms: -10a + 6a = -4a -17 + -4a = 27 + -6a + 6a Combine like terms: -6a + 6a = 0 -17 + -4a = 27 + 0 -17 + -4a = 27 Add '17' to each side of the equation. -17 + 17 + -4a = 27 + 17 Combine like terms: -17 + 17 = 0 0 + -4a = 27 + 17 -4a = 27 + 17 Combine like terms: 27 + 17 = 44 -4a = 44 Divide each side by '-4'. a = -11 Simplifying a = -11
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