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Simplifying 7 = 2(a + -3) + -9 Reorder the terms: 7 = 2(-3 + a) + -9 7 = (-3 * 2 + a * 2) + -9 7 = (-6 + 2a) + -9 Reorder the terms: 7 = -6 + -9 + 2a Combine like terms: -6 + -9 = -15 7 = -15 + 2a Solving 7 = -15 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 7 + -2a = -15 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + -2a = -15 + 0 7 + -2a = -15 Add '-7' to each side of the equation. 7 + -7 + -2a = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = -15 + -7 -2a = -15 + -7 Combine like terms: -15 + -7 = -22 -2a = -22 Divide each side by '-2'. a = 11 Simplifying a = 11
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