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Simplifying 5 + -7a = 4(a + 1) + -3 Reorder the terms: 5 + -7a = 4(1 + a) + -3 5 + -7a = (1 * 4 + a * 4) + -3 5 + -7a = (4 + 4a) + -3 Reorder the terms: 5 + -7a = 4 + -3 + 4a Combine like terms: 4 + -3 = 1 5 + -7a = 1 + 4a Solving 5 + -7a = 1 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 5 + -7a + -4a = 1 + 4a + -4a Combine like terms: -7a + -4a = -11a 5 + -11a = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 5 + -11a = 1 + 0 5 + -11a = 1 Add '-5' to each side of the equation. 5 + -5 + -11a = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -11a = 1 + -5 -11a = 1 + -5 Combine like terms: 1 + -5 = -4 -11a = -4 Divide each side by '-11'. a = 0.3636363636 Simplifying a = 0.3636363636
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