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Simplifying 4(2a + -1) + 5 = -10(a + -5) Reorder the terms: 4(-1 + 2a) + 5 = -10(a + -5) (-1 * 4 + 2a * 4) + 5 = -10(a + -5) (-4 + 8a) + 5 = -10(a + -5) Reorder the terms: -4 + 5 + 8a = -10(a + -5) Combine like terms: -4 + 5 = 1 1 + 8a = -10(a + -5) Reorder the terms: 1 + 8a = -10(-5 + a) 1 + 8a = (-5 * -10 + a * -10) 1 + 8a = (50 + -10a) Solving 1 + 8a = 50 + -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. 1 + 8a + 10a = 50 + -10a + 10a Combine like terms: 8a + 10a = 18a 1 + 18a = 50 + -10a + 10a Combine like terms: -10a + 10a = 0 1 + 18a = 50 + 0 1 + 18a = 50 Add '-1' to each side of the equation. 1 + -1 + 18a = 50 + -1 Combine like terms: 1 + -1 = 0 0 + 18a = 50 + -1 18a = 50 + -1 Combine like terms: 50 + -1 = 49 18a = 49 Divide each side by '18'. a = 2.722222222 Simplifying a = 2.722222222
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