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Simplifying -2(9r + 3) + -7r = -10 + -1(12r + 9) Reorder the terms: -2(3 + 9r) + -7r = -10 + -1(12r + 9) (3 * -2 + 9r * -2) + -7r = -10 + -1(12r + 9) (-6 + -18r) + -7r = -10 + -1(12r + 9) Combine like terms: -18r + -7r = -25r -6 + -25r = -10 + -1(12r + 9) Reorder the terms: -6 + -25r = -10 + -1(9 + 12r) -6 + -25r = -10 + (9 * -1 + 12r * -1) -6 + -25r = -10 + (-9 + -12r) Combine like terms: -10 + -9 = -19 -6 + -25r = -19 + -12r Solving -6 + -25r = -19 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. -6 + -25r + 12r = -19 + -12r + 12r Combine like terms: -25r + 12r = -13r -6 + -13r = -19 + -12r + 12r Combine like terms: -12r + 12r = 0 -6 + -13r = -19 + 0 -6 + -13r = -19 Add '6' to each side of the equation. -6 + 6 + -13r = -19 + 6 Combine like terms: -6 + 6 = 0 0 + -13r = -19 + 6 -13r = -19 + 6 Combine like terms: -19 + 6 = -13 -13r = -13 Divide each side by '-13'. r = 1 Simplifying r = 1
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