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Simplifying 3(a + -1) = 4(a + -15) Reorder the terms: 3(-1 + a) = 4(a + -15) (-1 * 3 + a * 3) = 4(a + -15) (-3 + 3a) = 4(a + -15) Reorder the terms: -3 + 3a = 4(-15 + a) -3 + 3a = (-15 * 4 + a * 4) -3 + 3a = (-60 + 4a) Solving -3 + 3a = -60 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -3 + 3a + -4a = -60 + 4a + -4a Combine like terms: 3a + -4a = -1a -3 + -1a = -60 + 4a + -4a Combine like terms: 4a + -4a = 0 -3 + -1a = -60 + 0 -3 + -1a = -60 Add '3' to each side of the equation. -3 + 3 + -1a = -60 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = -60 + 3 -1a = -60 + 3 Combine like terms: -60 + 3 = -57 -1a = -57 Divide each side by '-1'. a = 57 Simplifying a = 57
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