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Simplifying 7(a + 1) + -3a = 5 + 4(7 + w) Reorder the terms: 7(1 + a) + -3a = 5 + 4(7 + w) (1 * 7 + a * 7) + -3a = 5 + 4(7 + w) (7 + 7a) + -3a = 5 + 4(7 + w) Combine like terms: 7a + -3a = 4a 7 + 4a = 5 + 4(7 + w) 7 + 4a = 5 + (7 * 4 + w * 4) 7 + 4a = 5 + (28 + 4w) Combine like terms: 5 + 28 = 33 7 + 4a = 33 + 4w Solving 7 + 4a = 33 + 4w 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 = 33 + -7 + 4w Combine like terms: 7 + -7 = 0 0 + 4a = 33 + -7 + 4w 4a = 33 + -7 + 4w Combine like terms: 33 + -7 = 26 4a = 26 + 4w Divide each side by '4'. a = 6.5 + w Simplifying a = 6.5 + w
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