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Simplifying 2(3a + -9) = 10(a + -1) Reorder the terms: 2(-9 + 3a) = 10(a + -1) (-9 * 2 + 3a * 2) = 10(a + -1) (-18 + 6a) = 10(a + -1) Reorder the terms: -18 + 6a = 10(-1 + a) -18 + 6a = (-1 * 10 + a * 10) -18 + 6a = (-10 + 10a) Solving -18 + 6a = -10 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -18 + 6a + -10a = -10 + 10a + -10a Combine like terms: 6a + -10a = -4a -18 + -4a = -10 + 10a + -10a Combine like terms: 10a + -10a = 0 -18 + -4a = -10 + 0 -18 + -4a = -10 Add '18' to each side of the equation. -18 + 18 + -4a = -10 + 18 Combine like terms: -18 + 18 = 0 0 + -4a = -10 + 18 -4a = -10 + 18 Combine like terms: -10 + 18 = 8 -4a = 8 Divide each side by '-4'. a = -2 Simplifying a = -2
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