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Simplifying 3(a + -3) + 4a + 5 = 5(a + -1) Reorder the terms: 3(-3 + a) + 4a + 5 = 5(a + -1) (-3 * 3 + a * 3) + 4a + 5 = 5(a + -1) (-9 + 3a) + 4a + 5 = 5(a + -1) Reorder the terms: -9 + 5 + 3a + 4a = 5(a + -1) Combine like terms: -9 + 5 = -4 -4 + 3a + 4a = 5(a + -1) Combine like terms: 3a + 4a = 7a -4 + 7a = 5(a + -1) Reorder the terms: -4 + 7a = 5(-1 + a) -4 + 7a = (-1 * 5 + a * 5) -4 + 7a = (-5 + 5a) Solving -4 + 7a = -5 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -4 + 7a + -5a = -5 + 5a + -5a Combine like terms: 7a + -5a = 2a -4 + 2a = -5 + 5a + -5a Combine like terms: 5a + -5a = 0 -4 + 2a = -5 + 0 -4 + 2a = -5 Add '4' to each side of the equation. -4 + 4 + 2a = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = -5 + 4 2a = -5 + 4 Combine like terms: -5 + 4 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5
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