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Simplifying 5 + -4(a + -5) = -10 + a Reorder the terms: 5 + -4(-5 + a) = -10 + a 5 + (-5 * -4 + a * -4) = -10 + a 5 + (20 + -4a) = -10 + a Combine like terms: 5 + 20 = 25 25 + -4a = -10 + a Solving 25 + -4a = -10 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 25 + -4a + -1a = -10 + a + -1a Combine like terms: -4a + -1a = -5a 25 + -5a = -10 + a + -1a Combine like terms: a + -1a = 0 25 + -5a = -10 + 0 25 + -5a = -10 Add '-25' to each side of the equation. 25 + -25 + -5a = -10 + -25 Combine like terms: 25 + -25 = 0 0 + -5a = -10 + -25 -5a = -10 + -25 Combine like terms: -10 + -25 = -35 -5a = -35 Divide each side by '-5'. a = 7 Simplifying a = 7
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