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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) Reorder the terms for easier multiplication: -21 + 28a + -1 * 9(1 + 2a) = 2(a + -9) Multiply -1 * 9 -21 + 28a + -9(1 + 2a) = 2(a + -9) -21 + 28a + (1 * -9 + 2a * -9) = 2(a + -9) -21 + 28a + (-9 + -18a) = 2(a + -9) Reorder the terms: -21 + -9 + 28a + -18a = 2(a + -9) Combine like terms: -21 + -9 = -30 -30 + 28a + -18a = 2(a + -9) Combine like terms: 28a + -18a = 10a -30 + 10a = 2(a + -9) Reorder the terms: -30 + 10a = 2(-9 + a) -30 + 10a = (-9 * 2 + a * 2) -30 + 10a = (-18 + 2a) Solving -30 + 10a = -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. -30 + 10a + -2a = -18 + 2a + -2a Combine like terms: 10a + -2a = 8a -30 + 8a = -18 + 2a + -2a Combine like terms: 2a + -2a = 0 -30 + 8a = -18 + 0 -30 + 8a = -18 Add '30' to each side of the equation. -30 + 30 + 8a = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 8a = -18 + 30 8a = -18 + 30 Combine like terms: -18 + 30 = 12 8a = 12 Divide each side by '8'. a = 1.5 Simplifying a = 1.5
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