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Simplifying 8(a + -2) = 7 + -9(-1a + 4) Reorder the terms: 8(-2 + a) = 7 + -9(-1a + 4) (-2 * 8 + a * 8) = 7 + -9(-1a + 4) (-16 + 8a) = 7 + -9(-1a + 4) Reorder the terms: -16 + 8a = 7 + -9(4 + -1a) -16 + 8a = 7 + (4 * -9 + -1a * -9) -16 + 8a = 7 + (-36 + 9a) Combine like terms: 7 + -36 = -29 -16 + 8a = -29 + 9a Solving -16 + 8a = -29 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -16 + 8a + -9a = -29 + 9a + -9a Combine like terms: 8a + -9a = -1a -16 + -1a = -29 + 9a + -9a Combine like terms: 9a + -9a = 0 -16 + -1a = -29 + 0 -16 + -1a = -29 Add '16' to each side of the equation. -16 + 16 + -1a = -29 + 16 Combine like terms: -16 + 16 = 0 0 + -1a = -29 + 16 -1a = -29 + 16 Combine like terms: -29 + 16 = -13 -1a = -13 Divide each side by '-1'. a = 13 Simplifying a = 13
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