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Simplifying -2(5a + 6) = -3(3a + 8) Reorder the terms: -2(6 + 5a) = -3(3a + 8) (6 * -2 + 5a * -2) = -3(3a + 8) (-12 + -10a) = -3(3a + 8) Reorder the terms: -12 + -10a = -3(8 + 3a) -12 + -10a = (8 * -3 + 3a * -3) -12 + -10a = (-24 + -9a) Solving -12 + -10a = -24 + -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. -12 + -10a + 9a = -24 + -9a + 9a Combine like terms: -10a + 9a = -1a -12 + -1a = -24 + -9a + 9a Combine like terms: -9a + 9a = 0 -12 + -1a = -24 + 0 -12 + -1a = -24 Add '12' to each side of the equation. -12 + 12 + -1a = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = -24 + 12 -1a = -24 + 12 Combine like terms: -24 + 12 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12
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