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Simplifying -1(a + 5) = -2(2a + 1) + -7 Reorder the terms: -1(5 + a) = -2(2a + 1) + -7 (5 * -1 + a * -1) = -2(2a + 1) + -7 (-5 + -1a) = -2(2a + 1) + -7 Reorder the terms: -5 + -1a = -2(1 + 2a) + -7 -5 + -1a = (1 * -2 + 2a * -2) + -7 -5 + -1a = (-2 + -4a) + -7 Reorder the terms: -5 + -1a = -2 + -7 + -4a Combine like terms: -2 + -7 = -9 -5 + -1a = -9 + -4a Solving -5 + -1a = -9 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -5 + -1a + 4a = -9 + -4a + 4a Combine like terms: -1a + 4a = 3a -5 + 3a = -9 + -4a + 4a Combine like terms: -4a + 4a = 0 -5 + 3a = -9 + 0 -5 + 3a = -9 Add '5' to each side of the equation. -5 + 5 + 3a = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = -9 + 5 3a = -9 + 5 Combine like terms: -9 + 5 = -4 3a = -4 Divide each side by '3'. a = -1.333333333 Simplifying a = -1.333333333
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