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Simplifying -5(5a + -3) = -4(-2a + -4) + -1 Reorder the terms: -5(-3 + 5a) = -4(-2a + -4) + -1 (-3 * -5 + 5a * -5) = -4(-2a + -4) + -1 (15 + -25a) = -4(-2a + -4) + -1 Reorder the terms: 15 + -25a = -4(-4 + -2a) + -1 15 + -25a = (-4 * -4 + -2a * -4) + -1 15 + -25a = (16 + 8a) + -1 Reorder the terms: 15 + -25a = 16 + -1 + 8a Combine like terms: 16 + -1 = 15 15 + -25a = 15 + 8a Add '-15' to each side of the equation. 15 + -15 + -25a = 15 + -15 + 8a Combine like terms: 15 + -15 = 0 0 + -25a = 15 + -15 + 8a -25a = 15 + -15 + 8a Combine like terms: 15 + -15 = 0 -25a = 0 + 8a -25a = 8a Solving -25a = 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -25a + -8a = 8a + -8a Combine like terms: -25a + -8a = -33a -33a = 8a + -8a Combine like terms: 8a + -8a = 0 -33a = 0 Divide each side by '-33'. a = 0 Simplifying a = 0
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