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Simplifying a + -1(3a + 5) = 7 + -59 Reorder the terms: a + -1(5 + 3a) = 7 + -59 a + (5 * -1 + 3a * -1) = 7 + -59 a + (-5 + -3a) = 7 + -59 Reorder the terms: -5 + a + -3a = 7 + -59 Combine like terms: a + -3a = -2a -5 + -2a = 7 + -59 Combine like terms: 7 + -59 = -52 -5 + -2a = -52 Solving -5 + -2a = -52 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2a = -52 + 5 Combine like terms: -5 + 5 = 0 0 + -2a = -52 + 5 -2a = -52 + 5 Combine like terms: -52 + 5 = -47 -2a = -47 Divide each side by '-2'. a = 23.5 Simplifying a = 23.5
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