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Simplifying 26 + -5v = 6(-5v + -1) + -7v Reorder the terms: 26 + -5v = 6(-1 + -5v) + -7v 26 + -5v = (-1 * 6 + -5v * 6) + -7v 26 + -5v = (-6 + -30v) + -7v Combine like terms: -30v + -7v = -37v 26 + -5v = -6 + -37v Solving 26 + -5v = -6 + -37v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '37v' to each side of the equation. 26 + -5v + 37v = -6 + -37v + 37v Combine like terms: -5v + 37v = 32v 26 + 32v = -6 + -37v + 37v Combine like terms: -37v + 37v = 0 26 + 32v = -6 + 0 26 + 32v = -6 Add '-26' to each side of the equation. 26 + -26 + 32v = -6 + -26 Combine like terms: 26 + -26 = 0 0 + 32v = -6 + -26 32v = -6 + -26 Combine like terms: -6 + -26 = -32 32v = -32 Divide each side by '32'. v = -1 Simplifying v = -1
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