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Simplifying 4(a + -3) + 9 = 3(3a + 2) + -2a Reorder the terms: 4(-3 + a) + 9 = 3(3a + 2) + -2a (-3 * 4 + a * 4) + 9 = 3(3a + 2) + -2a (-12 + 4a) + 9 = 3(3a + 2) + -2a Reorder the terms: -12 + 9 + 4a = 3(3a + 2) + -2a Combine like terms: -12 + 9 = -3 -3 + 4a = 3(3a + 2) + -2a Reorder the terms: -3 + 4a = 3(2 + 3a) + -2a -3 + 4a = (2 * 3 + 3a * 3) + -2a -3 + 4a = (6 + 9a) + -2a Combine like terms: 9a + -2a = 7a -3 + 4a = 6 + 7a Solving -3 + 4a = 6 + 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. -3 + 4a + -7a = 6 + 7a + -7a Combine like terms: 4a + -7a = -3a -3 + -3a = 6 + 7a + -7a Combine like terms: 7a + -7a = 0 -3 + -3a = 6 + 0 -3 + -3a = 6 Add '3' to each side of the equation. -3 + 3 + -3a = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -3a = 6 + 3 -3a = 6 + 3 Combine like terms: 6 + 3 = 9 -3a = 9 Divide each side by '-3'. a = -3 Simplifying a = -3
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