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Simplifying -4(r + 8) = -3r + -33 Reorder the terms: -4(8 + r) = -3r + -33 (8 * -4 + r * -4) = -3r + -33 (-32 + -4r) = -3r + -33 Reorder the terms: -32 + -4r = -33 + -3r Solving -32 + -4r = -33 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -32 + -4r + 3r = -33 + -3r + 3r Combine like terms: -4r + 3r = -1r -32 + -1r = -33 + -3r + 3r Combine like terms: -3r + 3r = 0 -32 + -1r = -33 + 0 -32 + -1r = -33 Add '32' to each side of the equation. -32 + 32 + -1r = -33 + 32 Combine like terms: -32 + 32 = 0 0 + -1r = -33 + 32 -1r = -33 + 32 Combine like terms: -33 + 32 = -1 -1r = -1 Divide each side by '-1'. r = 1 Simplifying r = 1
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