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Simplifying 8a + -3(1 + 7a) = 17 + -3a 8a + (1 * -3 + 7a * -3) = 17 + -3a 8a + (-3 + -21a) = 17 + -3a Reorder the terms: -3 + 8a + -21a = 17 + -3a Combine like terms: 8a + -21a = -13a -3 + -13a = 17 + -3a Solving -3 + -13a = 17 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -3 + -13a + 3a = 17 + -3a + 3a Combine like terms: -13a + 3a = -10a -3 + -10a = 17 + -3a + 3a Combine like terms: -3a + 3a = 0 -3 + -10a = 17 + 0 -3 + -10a = 17 Add '3' to each side of the equation. -3 + 3 + -10a = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -10a = 17 + 3 -10a = 17 + 3 Combine like terms: 17 + 3 = 20 -10a = 20 Divide each side by '-10'. a = -2 Simplifying a = -2
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