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Simplifying 4 + 8(-2r + -15) = 20 + -7r + 17 Reorder the terms: 4 + 8(-15 + -2r) = 20 + -7r + 17 4 + (-15 * 8 + -2r * 8) = 20 + -7r + 17 4 + (-120 + -16r) = 20 + -7r + 17 Combine like terms: 4 + -120 = -116 -116 + -16r = 20 + -7r + 17 Reorder the terms: -116 + -16r = 20 + 17 + -7r Combine like terms: 20 + 17 = 37 -116 + -16r = 37 + -7r Solving -116 + -16r = 37 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -116 + -16r + 7r = 37 + -7r + 7r Combine like terms: -16r + 7r = -9r -116 + -9r = 37 + -7r + 7r Combine like terms: -7r + 7r = 0 -116 + -9r = 37 + 0 -116 + -9r = 37 Add '116' to each side of the equation. -116 + 116 + -9r = 37 + 116 Combine like terms: -116 + 116 = 0 0 + -9r = 37 + 116 -9r = 37 + 116 Combine like terms: 37 + 116 = 153 -9r = 153 Divide each side by '-9'. r = -17 Simplifying r = -17
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