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Simplifying -5(a + 2) = 2(2a + -15) + a Reorder the terms: -5(2 + a) = 2(2a + -15) + a (2 * -5 + a * -5) = 2(2a + -15) + a (-10 + -5a) = 2(2a + -15) + a Reorder the terms: -10 + -5a = 2(-15 + 2a) + a -10 + -5a = (-15 * 2 + 2a * 2) + a -10 + -5a = (-30 + 4a) + a Combine like terms: 4a + a = 5a -10 + -5a = -30 + 5a Solving -10 + -5a = -30 + 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. -10 + -5a + -5a = -30 + 5a + -5a Combine like terms: -5a + -5a = -10a -10 + -10a = -30 + 5a + -5a Combine like terms: 5a + -5a = 0 -10 + -10a = -30 + 0 -10 + -10a = -30 Add '10' to each side of the equation. -10 + 10 + -10a = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -10a = -30 + 10 -10a = -30 + 10 Combine like terms: -30 + 10 = -20 -10a = -20 Divide each side by '-10'. a = 2 Simplifying a = 2
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