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Simplifying 5(-10 + r) = 7(r + -8) (-10 * 5 + r * 5) = 7(r + -8) (-50 + 5r) = 7(r + -8) Reorder the terms: -50 + 5r = 7(-8 + r) -50 + 5r = (-8 * 7 + r * 7) -50 + 5r = (-56 + 7r) Solving -50 + 5r = -56 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -50 + 5r + -7r = -56 + 7r + -7r Combine like terms: 5r + -7r = -2r -50 + -2r = -56 + 7r + -7r Combine like terms: 7r + -7r = 0 -50 + -2r = -56 + 0 -50 + -2r = -56 Add '50' to each side of the equation. -50 + 50 + -2r = -56 + 50 Combine like terms: -50 + 50 = 0 0 + -2r = -56 + 50 -2r = -56 + 50 Combine like terms: -56 + 50 = -6 -2r = -6 Divide each side by '-2'. r = 3 Simplifying r = 3
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