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Simplifying 77 = 7(5 + a) 77 = (5 * 7 + a * 7) 77 = (35 + 7a) Solving 77 = 35 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 77 + -7a = 35 + 7a + -7a Combine like terms: 7a + -7a = 0 77 + -7a = 35 + 0 77 + -7a = 35 Add '-77' to each side of the equation. 77 + -77 + -7a = 35 + -77 Combine like terms: 77 + -77 = 0 0 + -7a = 35 + -77 -7a = 35 + -77 Combine like terms: 35 + -77 = -42 -7a = -42 Divide each side by '-7'. a = 6 Simplifying a = 6
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