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Simplifying -70 = -6(v + -7) + -7(v + 3) Reorder the terms: -70 = -6(-7 + v) + -7(v + 3) -70 = (-7 * -6 + v * -6) + -7(v + 3) -70 = (42 + -6v) + -7(v + 3) Reorder the terms: -70 = 42 + -6v + -7(3 + v) -70 = 42 + -6v + (3 * -7 + v * -7) -70 = 42 + -6v + (-21 + -7v) Reorder the terms: -70 = 42 + -21 + -6v + -7v Combine like terms: 42 + -21 = 21 -70 = 21 + -6v + -7v Combine like terms: -6v + -7v = -13v -70 = 21 + -13v Solving -70 = 21 + -13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13v' to each side of the equation. -70 + 13v = 21 + -13v + 13v Combine like terms: -13v + 13v = 0 -70 + 13v = 21 + 0 -70 + 13v = 21 Add '70' to each side of the equation. -70 + 70 + 13v = 21 + 70 Combine like terms: -70 + 70 = 0 0 + 13v = 21 + 70 13v = 21 + 70 Combine like terms: 21 + 70 = 91 13v = 91 Divide each side by '13'. v = 7 Simplifying v = 7
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