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Simplifying -7 + -3(4a + -8) = -3a + -2(-2 + -2a) Reorder the terms: -7 + -3(-8 + 4a) = -3a + -2(-2 + -2a) -7 + (-8 * -3 + 4a * -3) = -3a + -2(-2 + -2a) -7 + (24 + -12a) = -3a + -2(-2 + -2a) Combine like terms: -7 + 24 = 17 17 + -12a = -3a + -2(-2 + -2a) 17 + -12a = -3a + (-2 * -2 + -2a * -2) 17 + -12a = -3a + (4 + 4a) Reorder the terms: 17 + -12a = 4 + -3a + 4a Combine like terms: -3a + 4a = 1a 17 + -12a = 4 + 1a Solving 17 + -12a = 4 + 1a 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. 17 + -12a + -1a = 4 + 1a + -1a Combine like terms: -12a + -1a = -13a 17 + -13a = 4 + 1a + -1a Combine like terms: 1a + -1a = 0 17 + -13a = 4 + 0 17 + -13a = 4 Add '-17' to each side of the equation. 17 + -17 + -13a = 4 + -17 Combine like terms: 17 + -17 = 0 0 + -13a = 4 + -17 -13a = 4 + -17 Combine like terms: 4 + -17 = -13 -13a = -13 Divide each side by '-13'. a = 1 Simplifying a = 1
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