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Simplifying -3(a + -10) = 2a + 5(a + -6) Reorder the terms: -3(-10 + a) = 2a + 5(a + -6) (-10 * -3 + a * -3) = 2a + 5(a + -6) (30 + -3a) = 2a + 5(a + -6) Reorder the terms: 30 + -3a = 2a + 5(-6 + a) 30 + -3a = 2a + (-6 * 5 + a * 5) 30 + -3a = 2a + (-30 + 5a) Reorder the terms: 30 + -3a = -30 + 2a + 5a Combine like terms: 2a + 5a = 7a 30 + -3a = -30 + 7a Solving 30 + -3a = -30 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 30 + -3a + -7a = -30 + 7a + -7a Combine like terms: -3a + -7a = -10a 30 + -10a = -30 + 7a + -7a Combine like terms: 7a + -7a = 0 30 + -10a = -30 + 0 30 + -10a = -30 Add '-30' to each side of the equation. 30 + -30 + -10a = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -10a = -30 + -30 -10a = -30 + -30 Combine like terms: -30 + -30 = -60 -10a = -60 Divide each side by '-10'. a = 6 Simplifying a = 6
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