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Simplifying -13 + 18r + -16r = 7(2r + 18) + 17 Combine like terms: 18r + -16r = 2r -13 + 2r = 7(2r + 18) + 17 Reorder the terms: -13 + 2r = 7(18 + 2r) + 17 -13 + 2r = (18 * 7 + 2r * 7) + 17 -13 + 2r = (126 + 14r) + 17 Reorder the terms: -13 + 2r = 126 + 17 + 14r Combine like terms: 126 + 17 = 143 -13 + 2r = 143 + 14r Solving -13 + 2r = 143 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -13 + 2r + -14r = 143 + 14r + -14r Combine like terms: 2r + -14r = -12r -13 + -12r = 143 + 14r + -14r Combine like terms: 14r + -14r = 0 -13 + -12r = 143 + 0 -13 + -12r = 143 Add '13' to each side of the equation. -13 + 13 + -12r = 143 + 13 Combine like terms: -13 + 13 = 0 0 + -12r = 143 + 13 -12r = 143 + 13 Combine like terms: 143 + 13 = 156 -12r = 156 Divide each side by '-12'. r = -13 Simplifying r = -13
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