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Simplifying 5(5v + 6) + -3(-7 + 7v) = 1 Reorder the terms: 5(6 + 5v) + -3(-7 + 7v) = 1 (6 * 5 + 5v * 5) + -3(-7 + 7v) = 1 (30 + 25v) + -3(-7 + 7v) = 1 30 + 25v + (-7 * -3 + 7v * -3) = 1 30 + 25v + (21 + -21v) = 1 Reorder the terms: 30 + 21 + 25v + -21v = 1 Combine like terms: 30 + 21 = 51 51 + 25v + -21v = 1 Combine like terms: 25v + -21v = 4v 51 + 4v = 1 Solving 51 + 4v = 1 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 4v = 1 + -51 Combine like terms: 51 + -51 = 0 0 + 4v = 1 + -51 4v = 1 + -51 Combine like terms: 1 + -51 = -50 4v = -50 Divide each side by '4'. v = -12.5 Simplifying v = -12.5
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