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Simplifying -2(5a + -6) = -8(a + -3) Reorder the terms: -2(-6 + 5a) = -8(a + -3) (-6 * -2 + 5a * -2) = -8(a + -3) (12 + -10a) = -8(a + -3) Reorder the terms: 12 + -10a = -8(-3 + a) 12 + -10a = (-3 * -8 + a * -8) 12 + -10a = (24 + -8a) Solving 12 + -10a = 24 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 12 + -10a + 8a = 24 + -8a + 8a Combine like terms: -10a + 8a = -2a 12 + -2a = 24 + -8a + 8a Combine like terms: -8a + 8a = 0 12 + -2a = 24 + 0 12 + -2a = 24 Add '-12' to each side of the equation. 12 + -12 + -2a = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 24 + -12 -2a = 24 + -12 Combine like terms: 24 + -12 = 12 -2a = 12 Divide each side by '-2'. a = -6 Simplifying a = -6
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