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Simplifying 7(a + -1) + 2(a + -2) = a + -7 Reorder the terms: 7(-1 + a) + 2(a + -2) = a + -7 (-1 * 7 + a * 7) + 2(a + -2) = a + -7 (-7 + 7a) + 2(a + -2) = a + -7 Reorder the terms: -7 + 7a + 2(-2 + a) = a + -7 -7 + 7a + (-2 * 2 + a * 2) = a + -7 -7 + 7a + (-4 + 2a) = a + -7 Reorder the terms: -7 + -4 + 7a + 2a = a + -7 Combine like terms: -7 + -4 = -11 -11 + 7a + 2a = a + -7 Combine like terms: 7a + 2a = 9a -11 + 9a = a + -7 Reorder the terms: -11 + 9a = -7 + a Solving -11 + 9a = -7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -11 + 9a + -1a = -7 + a + -1a Combine like terms: 9a + -1a = 8a -11 + 8a = -7 + a + -1a Combine like terms: a + -1a = 0 -11 + 8a = -7 + 0 -11 + 8a = -7 Add '11' to each side of the equation. -11 + 11 + 8a = -7 + 11 Combine like terms: -11 + 11 = 0 0 + 8a = -7 + 11 8a = -7 + 11 Combine like terms: -7 + 11 = 4 8a = 4 Divide each side by '8'. a = 0.5 Simplifying a = 0.5
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