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Simplifying -3(1 + 7a) = -1a + 17 (1 * -3 + 7a * -3) = -1a + 17 (-3 + -21a) = -1a + 17 Reorder the terms: -3 + -21a = 17 + -1a Solving -3 + -21a = 17 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -3 + -21a + a = 17 + -1a + a Combine like terms: -21a + a = -20a -3 + -20a = 17 + -1a + a Combine like terms: -1a + a = 0 -3 + -20a = 17 + 0 -3 + -20a = 17 Add '3' to each side of the equation. -3 + 3 + -20a = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -20a = 17 + 3 -20a = 17 + 3 Combine like terms: 17 + 3 = 20 -20a = 20 Divide each side by '-20'. a = -1 Simplifying a = -1
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