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Simplifying -9r + -10 = -1(4r + 10) Reorder the terms: -10 + -9r = -1(4r + 10) Reorder the terms: -10 + -9r = -1(10 + 4r) -10 + -9r = (10 * -1 + 4r * -1) -10 + -9r = (-10 + -4r) Add '10' to each side of the equation. -10 + 10 + -9r = -10 + 10 + -4r Combine like terms: -10 + 10 = 0 0 + -9r = -10 + 10 + -4r -9r = -10 + 10 + -4r Combine like terms: -10 + 10 = 0 -9r = 0 + -4r -9r = -4r Solving -9r = -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -9r + 4r = -4r + 4r Combine like terms: -9r + 4r = -5r -5r = -4r + 4r Combine like terms: -4r + 4r = 0 -5r = 0 Divide each side by '-5'. r = 0 Simplifying r = 0
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