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Simplifying 10(-9r + -1) = -2r + -10 Reorder the terms: 10(-1 + -9r) = -2r + -10 (-1 * 10 + -9r * 10) = -2r + -10 (-10 + -90r) = -2r + -10 Reorder the terms: -10 + -90r = -10 + -2r Add '10' to each side of the equation. -10 + 10 + -90r = -10 + 10 + -2r Combine like terms: -10 + 10 = 0 0 + -90r = -10 + 10 + -2r -90r = -10 + 10 + -2r Combine like terms: -10 + 10 = 0 -90r = 0 + -2r -90r = -2r Solving -90r = -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -90r + 2r = -2r + 2r Combine like terms: -90r + 2r = -88r -88r = -2r + 2r Combine like terms: -2r + 2r = 0 -88r = 0 Divide each side by '-88'. r = 0 Simplifying r = 0
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