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Simplifying 20 + -5(20 + -6) = 5(a + 1) Combine like terms: 20 + -6 = 14 20 + -5(14) = 5(a + 1) Multiply -5 * 14 20 + -70 = 5(a + 1) Combine like terms: 20 + -70 = -50 -50 = 5(a + 1) Reorder the terms: -50 = 5(1 + a) -50 = (1 * 5 + a * 5) -50 = (5 + 5a) Solving -50 = 5 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -50 + -5a = 5 + 5a + -5a Combine like terms: 5a + -5a = 0 -50 + -5a = 5 + 0 -50 + -5a = 5 Add '50' to each side of the equation. -50 + 50 + -5a = 5 + 50 Combine like terms: -50 + 50 = 0 0 + -5a = 5 + 50 -5a = 5 + 50 Combine like terms: 5 + 50 = 55 -5a = 55 Divide each side by '-5'. a = -11 Simplifying a = -11
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