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Simplifying 178 = -6(1 + 5v) + 7v 178 = (1 * -6 + 5v * -6) + 7v 178 = (-6 + -30v) + 7v Combine like terms: -30v + 7v = -23v 178 = -6 + -23v Solving 178 = -6 + -23v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '23v' to each side of the equation. 178 + 23v = -6 + -23v + 23v Combine like terms: -23v + 23v = 0 178 + 23v = -6 + 0 178 + 23v = -6 Add '-178' to each side of the equation. 178 + -178 + 23v = -6 + -178 Combine like terms: 178 + -178 = 0 0 + 23v = -6 + -178 23v = -6 + -178 Combine like terms: -6 + -178 = -184 23v = -184 Divide each side by '23'. v = -8 Simplifying v = -8
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