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Simplifying 4(r + -10) = 9r Reorder the terms: 4(-10 + r) = 9r (-10 * 4 + r * 4) = 9r (-40 + 4r) = 9r Solving -40 + 4r = 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -40 + 4r + -9r = 9r + -9r Combine like terms: 4r + -9r = -5r -40 + -5r = 9r + -9r Combine like terms: 9r + -9r = 0 -40 + -5r = 0 Add '40' to each side of the equation. -40 + 40 + -5r = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -5r = 0 + 40 -5r = 0 + 40 Combine like terms: 0 + 40 = 40 -5r = 40 Divide each side by '-5'. r = -8 Simplifying r = -8
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