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Simplifying -1(a + 7) = 3(a + 2) Reorder the terms: -1(7 + a) = 3(a + 2) (7 * -1 + a * -1) = 3(a + 2) (-7 + -1a) = 3(a + 2) Reorder the terms: -7 + -1a = 3(2 + a) -7 + -1a = (2 * 3 + a * 3) -7 + -1a = (6 + 3a) Solving -7 + -1a = 6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -7 + -1a + -3a = 6 + 3a + -3a Combine like terms: -1a + -3a = -4a -7 + -4a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 -7 + -4a = 6 + 0 -7 + -4a = 6 Add '7' to each side of the equation. -7 + 7 + -4a = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -4a = 6 + 7 -4a = 6 + 7 Combine like terms: 6 + 7 = 13 -4a = 13 Divide each side by '-4'. a = -3.25 Simplifying a = -3.25
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