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Simplifying 3a + 15 = 4(a + -5) Reorder the terms: 15 + 3a = 4(a + -5) Reorder the terms: 15 + 3a = 4(-5 + a) 15 + 3a = (-5 * 4 + a * 4) 15 + 3a = (-20 + 4a) Solving 15 + 3a = -20 + 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. 15 + 3a + -4a = -20 + 4a + -4a Combine like terms: 3a + -4a = -1a 15 + -1a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 15 + -1a = -20 + 0 15 + -1a = -20 Add '-15' to each side of the equation. 15 + -15 + -1a = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = -20 + -15 -1a = -20 + -15 Combine like terms: -20 + -15 = -35 -1a = -35 Divide each side by '-1'. a = 35 Simplifying a = 35
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