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Simplifying -13 = 5(1 + 4a) + -2a -13 = (1 * 5 + 4a * 5) + -2a -13 = (5 + 20a) + -2a Combine like terms: 20a + -2a = 18a -13 = 5 + 18a Solving -13 = 5 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -13 + -18a = 5 + 18a + -18a Combine like terms: 18a + -18a = 0 -13 + -18a = 5 + 0 -13 + -18a = 5 Add '13' to each side of the equation. -13 + 13 + -18a = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -18a = 5 + 13 -18a = 5 + 13 Combine like terms: 5 + 13 = 18 -18a = 18 Divide each side by '-18'. a = -1 Simplifying a = -1
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