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Simplifying -10r + -3(9 + -1r) = 4(-2r + 5) + -12 -10r + (9 * -3 + -1r * -3) = 4(-2r + 5) + -12 -10r + (-27 + 3r) = 4(-2r + 5) + -12 Reorder the terms: -27 + -10r + 3r = 4(-2r + 5) + -12 Combine like terms: -10r + 3r = -7r -27 + -7r = 4(-2r + 5) + -12 Reorder the terms: -27 + -7r = 4(5 + -2r) + -12 -27 + -7r = (5 * 4 + -2r * 4) + -12 -27 + -7r = (20 + -8r) + -12 Reorder the terms: -27 + -7r = 20 + -12 + -8r Combine like terms: 20 + -12 = 8 -27 + -7r = 8 + -8r Solving -27 + -7r = 8 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -27 + -7r + 8r = 8 + -8r + 8r Combine like terms: -7r + 8r = 1r -27 + 1r = 8 + -8r + 8r Combine like terms: -8r + 8r = 0 -27 + 1r = 8 + 0 -27 + 1r = 8 Add '27' to each side of the equation. -27 + 27 + 1r = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 1r = 8 + 27 1r = 8 + 27 Combine like terms: 8 + 27 = 35 1r = 35 Divide each side by '1'. r = 35 Simplifying r = 35
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