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Simplifying 4 + -3(4a + 5) = 5(7 + -4a) Reorder the terms: 4 + -3(5 + 4a) = 5(7 + -4a) 4 + (5 * -3 + 4a * -3) = 5(7 + -4a) 4 + (-15 + -12a) = 5(7 + -4a) Combine like terms: 4 + -15 = -11 -11 + -12a = 5(7 + -4a) -11 + -12a = (7 * 5 + -4a * 5) -11 + -12a = (35 + -20a) Solving -11 + -12a = 35 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. -11 + -12a + 20a = 35 + -20a + 20a Combine like terms: -12a + 20a = 8a -11 + 8a = 35 + -20a + 20a Combine like terms: -20a + 20a = 0 -11 + 8a = 35 + 0 -11 + 8a = 35 Add '11' to each side of the equation. -11 + 11 + 8a = 35 + 11 Combine like terms: -11 + 11 = 0 0 + 8a = 35 + 11 8a = 35 + 11 Combine like terms: 35 + 11 = 46 8a = 46 Divide each side by '8'. a = 5.75 Simplifying a = 5.75
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