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Simplifying -6r + -4(5r + 9) = 12 + -10r Reorder the terms: -6r + -4(9 + 5r) = 12 + -10r -6r + (9 * -4 + 5r * -4) = 12 + -10r -6r + (-36 + -20r) = 12 + -10r Reorder the terms: -36 + -6r + -20r = 12 + -10r Combine like terms: -6r + -20r = -26r -36 + -26r = 12 + -10r Solving -36 + -26r = 12 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -36 + -26r + 10r = 12 + -10r + 10r Combine like terms: -26r + 10r = -16r -36 + -16r = 12 + -10r + 10r Combine like terms: -10r + 10r = 0 -36 + -16r = 12 + 0 -36 + -16r = 12 Add '36' to each side of the equation. -36 + 36 + -16r = 12 + 36 Combine like terms: -36 + 36 = 0 0 + -16r = 12 + 36 -16r = 12 + 36 Combine like terms: 12 + 36 = 48 -16r = 48 Divide each side by '-16'. r = -3 Simplifying r = -3
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