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Simplifying 7(a + 5) = 10[a + -1(8 + -7)] Reorder the terms: 7(5 + a) = 10[a + -1(8 + -7)] (5 * 7 + a * 7) = 10[a + -1(8 + -7)] (35 + 7a) = 10[a + -1(8 + -7)] Combine like terms: 8 + -7 = 1 35 + 7a = 10[a + -1(1)] Multiply -1 * 1 35 + 7a = 10[a + -1] Reorder the terms: 35 + 7a = 10[-1 + a] 35 + 7a = [-1 * 10 + a * 10] 35 + 7a = [-10 + 10a] Solving 35 + 7a = -10 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 35 + 7a + -10a = -10 + 10a + -10a Combine like terms: 7a + -10a = -3a 35 + -3a = -10 + 10a + -10a Combine like terms: 10a + -10a = 0 35 + -3a = -10 + 0 35 + -3a = -10 Add '-35' to each side of the equation. 35 + -35 + -3a = -10 + -35 Combine like terms: 35 + -35 = 0 0 + -3a = -10 + -35 -3a = -10 + -35 Combine like terms: -10 + -35 = -45 -3a = -45 Divide each side by '-3'. a = 15 Simplifying a = 15
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