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Simplifying 3(a + 3) = 7(a + -1) Reorder the terms: 3(3 + a) = 7(a + -1) (3 * 3 + a * 3) = 7(a + -1) (9 + 3a) = 7(a + -1) Reorder the terms: 9 + 3a = 7(-1 + a) 9 + 3a = (-1 * 7 + a * 7) 9 + 3a = (-7 + 7a) Solving 9 + 3a = -7 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 9 + 3a + -7a = -7 + 7a + -7a Combine like terms: 3a + -7a = -4a 9 + -4a = -7 + 7a + -7a Combine like terms: 7a + -7a = 0 9 + -4a = -7 + 0 9 + -4a = -7 Add '-9' to each side of the equation. 9 + -9 + -4a = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -4a = -7 + -9 -4a = -7 + -9 Combine like terms: -7 + -9 = -16 -4a = -16 Divide each side by '-4'. a = 4 Simplifying a = 4
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