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Simplifying 5(a + 3) + -10 = -4(a + -4) Reorder the terms: 5(3 + a) + -10 = -4(a + -4) (3 * 5 + a * 5) + -10 = -4(a + -4) (15 + 5a) + -10 = -4(a + -4) Reorder the terms: 15 + -10 + 5a = -4(a + -4) Combine like terms: 15 + -10 = 5 5 + 5a = -4(a + -4) Reorder the terms: 5 + 5a = -4(-4 + a) 5 + 5a = (-4 * -4 + a * -4) 5 + 5a = (16 + -4a) Solving 5 + 5a = 16 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 5 + 5a + 4a = 16 + -4a + 4a Combine like terms: 5a + 4a = 9a 5 + 9a = 16 + -4a + 4a Combine like terms: -4a + 4a = 0 5 + 9a = 16 + 0 5 + 9a = 16 Add '-5' to each side of the equation. 5 + -5 + 9a = 16 + -5 Combine like terms: 5 + -5 = 0 0 + 9a = 16 + -5 9a = 16 + -5 Combine like terms: 16 + -5 = 11 9a = 11 Divide each side by '9'. a = 1.222222222 Simplifying a = 1.222222222
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