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Simplifying 8a + -15 = -5(3a + -2) + -2a Reorder the terms: -15 + 8a = -5(3a + -2) + -2a Reorder the terms: -15 + 8a = -5(-2 + 3a) + -2a -15 + 8a = (-2 * -5 + 3a * -5) + -2a -15 + 8a = (10 + -15a) + -2a Combine like terms: -15a + -2a = -17a -15 + 8a = 10 + -17a Solving -15 + 8a = 10 + -17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17a' to each side of the equation. -15 + 8a + 17a = 10 + -17a + 17a Combine like terms: 8a + 17a = 25a -15 + 25a = 10 + -17a + 17a Combine like terms: -17a + 17a = 0 -15 + 25a = 10 + 0 -15 + 25a = 10 Add '15' to each side of the equation. -15 + 15 + 25a = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 25a = 10 + 15 25a = 10 + 15 Combine like terms: 10 + 15 = 25 25a = 25 Divide each side by '25'. a = 1 Simplifying a = 1
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