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Simplifying 10 + -1v = v + 8(8v + -7) Reorder the terms: 10 + -1v = v + 8(-7 + 8v) 10 + -1v = v + (-7 * 8 + 8v * 8) 10 + -1v = v + (-56 + 64v) Reorder the terms: 10 + -1v = -56 + v + 64v Combine like terms: v + 64v = 65v 10 + -1v = -56 + 65v Solving 10 + -1v = -56 + 65v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-65v' to each side of the equation. 10 + -1v + -65v = -56 + 65v + -65v Combine like terms: -1v + -65v = -66v 10 + -66v = -56 + 65v + -65v Combine like terms: 65v + -65v = 0 10 + -66v = -56 + 0 10 + -66v = -56 Add '-10' to each side of the equation. 10 + -10 + -66v = -56 + -10 Combine like terms: 10 + -10 = 0 0 + -66v = -56 + -10 -66v = -56 + -10 Combine like terms: -56 + -10 = -66 -66v = -66 Divide each side by '-66'. v = 1 Simplifying v = 1
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