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Simplifying 8(3 + -2) = 4(r + 2) + -21 Combine like terms: 3 + -2 = 1 8(1) = 4(r + 2) + -21 Multiply 8 * 1 8 = 4(r + 2) + -21 Reorder the terms: 8 = 4(2 + r) + -21 8 = (2 * 4 + r * 4) + -21 8 = (8 + 4r) + -21 Reorder the terms: 8 = 8 + -21 + 4r Combine like terms: 8 + -21 = -13 8 = -13 + 4r Solving 8 = -13 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 8 + -4r = -13 + 4r + -4r Combine like terms: 4r + -4r = 0 8 + -4r = -13 + 0 8 + -4r = -13 Add '-8' to each side of the equation. 8 + -8 + -4r = -13 + -8 Combine like terms: 8 + -8 = 0 0 + -4r = -13 + -8 -4r = -13 + -8 Combine like terms: -13 + -8 = -21 -4r = -21 Divide each side by '-4'. r = 5.25 Simplifying r = 5.25
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