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Simplifying -8r + -33 = 8(r + 8) + -1 Reorder the terms: -33 + -8r = 8(r + 8) + -1 Reorder the terms: -33 + -8r = 8(8 + r) + -1 -33 + -8r = (8 * 8 + r * 8) + -1 -33 + -8r = (64 + 8r) + -1 Reorder the terms: -33 + -8r = 64 + -1 + 8r Combine like terms: 64 + -1 = 63 -33 + -8r = 63 + 8r Solving -33 + -8r = 63 + 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. -33 + -8r + -8r = 63 + 8r + -8r Combine like terms: -8r + -8r = -16r -33 + -16r = 63 + 8r + -8r Combine like terms: 8r + -8r = 0 -33 + -16r = 63 + 0 -33 + -16r = 63 Add '33' to each side of the equation. -33 + 33 + -16r = 63 + 33 Combine like terms: -33 + 33 = 0 0 + -16r = 63 + 33 -16r = 63 + 33 Combine like terms: 63 + 33 = 96 -16r = 96 Divide each side by '-16'. r = -6 Simplifying r = -6
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