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Simplifying -1(8r + 1) + -4(1 + -3r) = -37 Reorder the terms: -1(1 + 8r) + -4(1 + -3r) = -37 (1 * -1 + 8r * -1) + -4(1 + -3r) = -37 (-1 + -8r) + -4(1 + -3r) = -37 -1 + -8r + (1 * -4 + -3r * -4) = -37 -1 + -8r + (-4 + 12r) = -37 Reorder the terms: -1 + -4 + -8r + 12r = -37 Combine like terms: -1 + -4 = -5 -5 + -8r + 12r = -37 Combine like terms: -8r + 12r = 4r -5 + 4r = -37 Solving -5 + 4r = -37 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4r = -37 + 5 Combine like terms: -5 + 5 = 0 0 + 4r = -37 + 5 4r = -37 + 5 Combine like terms: -37 + 5 = -32 4r = -32 Divide each side by '4'. r = -8 Simplifying r = -8
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