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Simplifying -4(a + -3) = -3(a + -5) Reorder the terms: -4(-3 + a) = -3(a + -5) (-3 * -4 + a * -4) = -3(a + -5) (12 + -4a) = -3(a + -5) Reorder the terms: 12 + -4a = -3(-5 + a) 12 + -4a = (-5 * -3 + a * -3) 12 + -4a = (15 + -3a) Solving 12 + -4a = 15 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 12 + -4a + 3a = 15 + -3a + 3a Combine like terms: -4a + 3a = -1a 12 + -1a = 15 + -3a + 3a Combine like terms: -3a + 3a = 0 12 + -1a = 15 + 0 12 + -1a = 15 Add '-12' to each side of the equation. 12 + -12 + -1a = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 15 + -12 -1a = 15 + -12 Combine like terms: 15 + -12 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3
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