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Simplifying 8(r + -11) = -5r + 5(10 + -2r) Reorder the terms: 8(-11 + r) = -5r + 5(10 + -2r) (-11 * 8 + r * 8) = -5r + 5(10 + -2r) (-88 + 8r) = -5r + 5(10 + -2r) -88 + 8r = -5r + (10 * 5 + -2r * 5) -88 + 8r = -5r + (50 + -10r) Reorder the terms: -88 + 8r = 50 + -5r + -10r Combine like terms: -5r + -10r = -15r -88 + 8r = 50 + -15r Solving -88 + 8r = 50 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -88 + 8r + 15r = 50 + -15r + 15r Combine like terms: 8r + 15r = 23r -88 + 23r = 50 + -15r + 15r Combine like terms: -15r + 15r = 0 -88 + 23r = 50 + 0 -88 + 23r = 50 Add '88' to each side of the equation. -88 + 88 + 23r = 50 + 88 Combine like terms: -88 + 88 = 0 0 + 23r = 50 + 88 23r = 50 + 88 Combine like terms: 50 + 88 = 138 23r = 138 Divide each side by '23'. r = 6 Simplifying r = 6
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