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Simplifying -2(9r + 3) + -7r = -10r + -1(12r + 9) Reorder the terms: -2(3 + 9r) + -7r = -10r + -1(12r + 9) (3 * -2 + 9r * -2) + -7r = -10r + -1(12r + 9) (-6 + -18r) + -7r = -10r + -1(12r + 9) Combine like terms: -18r + -7r = -25r -6 + -25r = -10r + -1(12r + 9) Reorder the terms: -6 + -25r = -10r + -1(9 + 12r) -6 + -25r = -10r + (9 * -1 + 12r * -1) -6 + -25r = -10r + (-9 + -12r) Reorder the terms: -6 + -25r = -9 + -10r + -12r Combine like terms: -10r + -12r = -22r -6 + -25r = -9 + -22r Solving -6 + -25r = -9 + -22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '22r' to each side of the equation. -6 + -25r + 22r = -9 + -22r + 22r Combine like terms: -25r + 22r = -3r -6 + -3r = -9 + -22r + 22r Combine like terms: -22r + 22r = 0 -6 + -3r = -9 + 0 -6 + -3r = -9 Add '6' to each side of the equation. -6 + 6 + -3r = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -3r = -9 + 6 -3r = -9 + 6 Combine like terms: -9 + 6 = -3 -3r = -3 Divide each side by '-3'. r = 1 Simplifying r = 1
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