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Simplifying -21 + -21 + 7a = -4(5 + -2a) + 3 Combine like terms: -21 + -21 = -42 -42 + 7a = -4(5 + -2a) + 3 -42 + 7a = (5 * -4 + -2a * -4) + 3 -42 + 7a = (-20 + 8a) + 3 Reorder the terms: -42 + 7a = -20 + 3 + 8a Combine like terms: -20 + 3 = -17 -42 + 7a = -17 + 8a Solving -42 + 7a = -17 + 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. -42 + 7a + -8a = -17 + 8a + -8a Combine like terms: 7a + -8a = -1a -42 + -1a = -17 + 8a + -8a Combine like terms: 8a + -8a = 0 -42 + -1a = -17 + 0 -42 + -1a = -17 Add '42' to each side of the equation. -42 + 42 + -1a = -17 + 42 Combine like terms: -42 + 42 = 0 0 + -1a = -17 + 42 -1a = -17 + 42 Combine like terms: -17 + 42 = 25 -1a = 25 Divide each side by '-1'. a = -25 Simplifying a = -25
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