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Simplifying 75 + -9r = 5(-4 + 2r) 75 + -9r = (-4 * 5 + 2r * 5) 75 + -9r = (-20 + 10r) Solving 75 + -9r = -20 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 75 + -9r + -10r = -20 + 10r + -10r Combine like terms: -9r + -10r = -19r 75 + -19r = -20 + 10r + -10r Combine like terms: 10r + -10r = 0 75 + -19r = -20 + 0 75 + -19r = -20 Add '-75' to each side of the equation. 75 + -75 + -19r = -20 + -75 Combine like terms: 75 + -75 = 0 0 + -19r = -20 + -75 -19r = -20 + -75 Combine like terms: -20 + -75 = -95 -19r = -95 Divide each side by '-19'. r = 5 Simplifying r = 5
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