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Simplifying 7(a + 1) + -3a = 5 + 4(2s + -1) Reorder the terms: 7(1 + a) + -3a = 5 + 4(2s + -1) (1 * 7 + a * 7) + -3a = 5 + 4(2s + -1) (7 + 7a) + -3a = 5 + 4(2s + -1) Combine like terms: 7a + -3a = 4a 7 + 4a = 5 + 4(2s + -1) Reorder the terms: 7 + 4a = 5 + 4(-1 + 2s) 7 + 4a = 5 + (-1 * 4 + 2s * 4) 7 + 4a = 5 + (-4 + 8s) Combine like terms: 5 + -4 = 1 7 + 4a = 1 + 8s Solving 7 + 4a = 1 + 8s Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4a = 1 + -7 + 8s Combine like terms: 7 + -7 = 0 0 + 4a = 1 + -7 + 8s 4a = 1 + -7 + 8s Combine like terms: 1 + -7 = -6 4a = -6 + 8s Divide each side by '4'. a = -1.5 + 2s Simplifying a = -1.5 + 2s
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