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Simplifying 10(11v + -7) + -10(3r + -7) = 7r + -8r Reorder the terms: 10(-7 + 11v) + -10(3r + -7) = 7r + -8r (-7 * 10 + 11v * 10) + -10(3r + -7) = 7r + -8r (-70 + 110v) + -10(3r + -7) = 7r + -8r Reorder the terms: -70 + 110v + -10(-7 + 3r) = 7r + -8r -70 + 110v + (-7 * -10 + 3r * -10) = 7r + -8r -70 + 110v + (70 + -30r) = 7r + -8r Reorder the terms: -70 + 70 + -30r + 110v = 7r + -8r Combine like terms: -70 + 70 = 0 0 + -30r + 110v = 7r + -8r -30r + 110v = 7r + -8r Combine like terms: 7r + -8r = -1r -30r + 110v = -1r Solving -30r + 110v = -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -30r + r + 110v = -1r + r Combine like terms: -30r + r = -29r -29r + 110v = -1r + r Combine like terms: -1r + r = 0 -29r + 110v = 0 Add '-110v' to each side of the equation. -29r + 110v + -110v = 0 + -110v Combine like terms: 110v + -110v = 0 -29r + 0 = 0 + -110v -29r = 0 + -110v Remove the zero: -29r = -110v Divide each side by '-29'. r = 3.793103448v Simplifying r = 3.793103448v
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