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Simplifying 8(a + -1) = 3(3a + -2) Reorder the terms: 8(-1 + a) = 3(3a + -2) (-1 * 8 + a * 8) = 3(3a + -2) (-8 + 8a) = 3(3a + -2) Reorder the terms: -8 + 8a = 3(-2 + 3a) -8 + 8a = (-2 * 3 + 3a * 3) -8 + 8a = (-6 + 9a) Solving -8 + 8a = -6 + 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. -8 + 8a + -9a = -6 + 9a + -9a Combine like terms: 8a + -9a = -1a -8 + -1a = -6 + 9a + -9a Combine like terms: 9a + -9a = 0 -8 + -1a = -6 + 0 -8 + -1a = -6 Add '8' to each side of the equation. -8 + 8 + -1a = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -1a = -6 + 8 -1a = -6 + 8 Combine like terms: -6 + 8 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2
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