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Simplifying 5(a + -2) + -15 = 6(12 + -7) Reorder the terms: 5(-2 + a) + -15 = 6(12 + -7) (-2 * 5 + a * 5) + -15 = 6(12 + -7) (-10 + 5a) + -15 = 6(12 + -7) Reorder the terms: -10 + -15 + 5a = 6(12 + -7) Combine like terms: -10 + -15 = -25 -25 + 5a = 6(12 + -7) Combine like terms: 12 + -7 = 5 -25 + 5a = 6(5) Multiply 6 * 5 -25 + 5a = 30 Solving -25 + 5a = 30 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 5a = 30 + 25 Combine like terms: -25 + 25 = 0 0 + 5a = 30 + 25 5a = 30 + 25 Combine like terms: 30 + 25 = 55 5a = 55 Divide each side by '5'. a = 11 Simplifying a = 11
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