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Simplifying 3(a + 3) + -2 = 4(a + -6) + 9 Reorder the terms: 3(3 + a) + -2 = 4(a + -6) + 9 (3 * 3 + a * 3) + -2 = 4(a + -6) + 9 (9 + 3a) + -2 = 4(a + -6) + 9 Reorder the terms: 9 + -2 + 3a = 4(a + -6) + 9 Combine like terms: 9 + -2 = 7 7 + 3a = 4(a + -6) + 9 Reorder the terms: 7 + 3a = 4(-6 + a) + 9 7 + 3a = (-6 * 4 + a * 4) + 9 7 + 3a = (-24 + 4a) + 9 Reorder the terms: 7 + 3a = -24 + 9 + 4a Combine like terms: -24 + 9 = -15 7 + 3a = -15 + 4a Solving 7 + 3a = -15 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 7 + 3a + -4a = -15 + 4a + -4a Combine like terms: 3a + -4a = -1a 7 + -1a = -15 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + -1a = -15 + 0 7 + -1a = -15 Add '-7' to each side of the equation. 7 + -7 + -1a = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = -15 + -7 -1a = -15 + -7 Combine like terms: -15 + -7 = -22 -1a = -22 Divide each side by '-1'. a = 22 Simplifying a = 22
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