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Simplifying 7 + -6a = -15 + -2(7a + 9) Reorder the terms: 7 + -6a = -15 + -2(9 + 7a) 7 + -6a = -15 + (9 * -2 + 7a * -2) 7 + -6a = -15 + (-18 + -14a) Combine like terms: -15 + -18 = -33 7 + -6a = -33 + -14a Solving 7 + -6a = -33 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 7 + -6a + 14a = -33 + -14a + 14a Combine like terms: -6a + 14a = 8a 7 + 8a = -33 + -14a + 14a Combine like terms: -14a + 14a = 0 7 + 8a = -33 + 0 7 + 8a = -33 Add '-7' to each side of the equation. 7 + -7 + 8a = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 8a = -33 + -7 8a = -33 + -7 Combine like terms: -33 + -7 = -40 8a = -40 Divide each side by '8'. a = -5 Simplifying a = -5
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