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Simplifying a + -1(5 + -2a) = 7(a + -1) + -2 a + (5 * -1 + -2a * -1) = 7(a + -1) + -2 a + (-5 + 2a) = 7(a + -1) + -2 Reorder the terms: -5 + a + 2a = 7(a + -1) + -2 Combine like terms: a + 2a = 3a -5 + 3a = 7(a + -1) + -2 Reorder the terms: -5 + 3a = 7(-1 + a) + -2 -5 + 3a = (-1 * 7 + a * 7) + -2 -5 + 3a = (-7 + 7a) + -2 Reorder the terms: -5 + 3a = -7 + -2 + 7a Combine like terms: -7 + -2 = -9 -5 + 3a = -9 + 7a Solving -5 + 3a = -9 + 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. -5 + 3a + -7a = -9 + 7a + -7a Combine like terms: 3a + -7a = -4a -5 + -4a = -9 + 7a + -7a Combine like terms: 7a + -7a = 0 -5 + -4a = -9 + 0 -5 + -4a = -9 Add '5' to each side of the equation. -5 + 5 + -4a = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -4a = -9 + 5 -4a = -9 + 5 Combine like terms: -9 + 5 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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