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Simplifying -13 = 7 + 4(2a + 15) Reorder the terms: -13 = 7 + 4(15 + 2a) -13 = 7 + (15 * 4 + 2a * 4) -13 = 7 + (60 + 8a) Combine like terms: 7 + 60 = 67 -13 = 67 + 8a Solving -13 = 67 + 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. -13 + -8a = 67 + 8a + -8a Combine like terms: 8a + -8a = 0 -13 + -8a = 67 + 0 -13 + -8a = 67 Add '13' to each side of the equation. -13 + 13 + -8a = 67 + 13 Combine like terms: -13 + 13 = 0 0 + -8a = 67 + 13 -8a = 67 + 13 Combine like terms: 67 + 13 = 80 -8a = 80 Divide each side by '-8'. a = -10 Simplifying a = -10
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