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Simplifying 4(a + -3) + 5a = 3(a + 4) Reorder the terms: 4(-3 + a) + 5a = 3(a + 4) (-3 * 4 + a * 4) + 5a = 3(a + 4) (-12 + 4a) + 5a = 3(a + 4) Combine like terms: 4a + 5a = 9a -12 + 9a = 3(a + 4) Reorder the terms: -12 + 9a = 3(4 + a) -12 + 9a = (4 * 3 + a * 3) -12 + 9a = (12 + 3a) Solving -12 + 9a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -12 + 9a + -3a = 12 + 3a + -3a Combine like terms: 9a + -3a = 6a -12 + 6a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + 6a = 12 + 0 -12 + 6a = 12 Add '12' to each side of the equation. -12 + 12 + 6a = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6a = 12 + 12 6a = 12 + 12 Combine like terms: 12 + 12 = 24 6a = 24 Divide each side by '6'. a = 4 Simplifying a = 4
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