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Simplifying 3(a + 5) = 10[a + -1(1 + -1a)] Reorder the terms: 3(5 + a) = 10[a + -1(1 + -1a)] (5 * 3 + a * 3) = 10[a + -1(1 + -1a)] (15 + 3a) = 10[a + -1(1 + -1a)] 15 + 3a = 10[a + (1 * -1 + -1a * -1)] 15 + 3a = 10[a + (-1 + 1a)] Reorder the terms: 15 + 3a = 10[-1 + a + 1a] Combine like terms: a + 1a = 2a 15 + 3a = 10[-1 + 2a] 15 + 3a = [-1 * 10 + 2a * 10] 15 + 3a = [-10 + 20a] Solving 15 + 3a = -10 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 15 + 3a + -20a = -10 + 20a + -20a Combine like terms: 3a + -20a = -17a 15 + -17a = -10 + 20a + -20a Combine like terms: 20a + -20a = 0 15 + -17a = -10 + 0 15 + -17a = -10 Add '-15' to each side of the equation. 15 + -15 + -17a = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -17a = -10 + -15 -17a = -10 + -15 Combine like terms: -10 + -15 = -25 -17a = -25 Divide each side by '-17'. a = 1.470588235 Simplifying a = 1.470588235
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