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Simplifying 7(4a + -3) + -1(2a + 1) + -9 = 2(a + -9) Reorder the terms: 7(-3 + 4a) + -1(2a + 1) + -9 = 2(a + -9) (-3 * 7 + 4a * 7) + -1(2a + 1) + -9 = 2(a + -9) (-21 + 28a) + -1(2a + 1) + -9 = 2(a + -9) Reorder the terms: -21 + 28a + -1(1 + 2a) + -9 = 2(a + -9) -21 + 28a + (1 * -1 + 2a * -1) + -9 = 2(a + -9) -21 + 28a + (-1 + -2a) + -9 = 2(a + -9) Reorder the terms: -21 + -1 + -9 + 28a + -2a = 2(a + -9) Combine like terms: -21 + -1 = -22 -22 + -9 + 28a + -2a = 2(a + -9) Combine like terms: -22 + -9 = -31 -31 + 28a + -2a = 2(a + -9) Combine like terms: 28a + -2a = 26a -31 + 26a = 2(a + -9) Reorder the terms: -31 + 26a = 2(-9 + a) -31 + 26a = (-9 * 2 + a * 2) -31 + 26a = (-18 + 2a) Solving -31 + 26a = -18 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -31 + 26a + -2a = -18 + 2a + -2a Combine like terms: 26a + -2a = 24a -31 + 24a = -18 + 2a + -2a Combine like terms: 2a + -2a = 0 -31 + 24a = -18 + 0 -31 + 24a = -18 Add '31' to each side of the equation. -31 + 31 + 24a = -18 + 31 Combine like terms: -31 + 31 = 0 0 + 24a = -18 + 31 24a = -18 + 31 Combine like terms: -18 + 31 = 13 24a = 13 Divide each side by '24'. a = 0.5416666667 Simplifying a = 0.5416666667
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