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Simplifying 9 + 2(a + -2) = 5(2a + -13) Reorder the terms: 9 + 2(-2 + a) = 5(2a + -13) 9 + (-2 * 2 + a * 2) = 5(2a + -13) 9 + (-4 + 2a) = 5(2a + -13) Combine like terms: 9 + -4 = 5 5 + 2a = 5(2a + -13) Reorder the terms: 5 + 2a = 5(-13 + 2a) 5 + 2a = (-13 * 5 + 2a * 5) 5 + 2a = (-65 + 10a) Solving 5 + 2a = -65 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 5 + 2a + -10a = -65 + 10a + -10a Combine like terms: 2a + -10a = -8a 5 + -8a = -65 + 10a + -10a Combine like terms: 10a + -10a = 0 5 + -8a = -65 + 0 5 + -8a = -65 Add '-5' to each side of the equation. 5 + -5 + -8a = -65 + -5 Combine like terms: 5 + -5 = 0 0 + -8a = -65 + -5 -8a = -65 + -5 Combine like terms: -65 + -5 = -70 -8a = -70 Divide each side by '-8'. a = 8.75 Simplifying a = 8.75
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