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Simplifying -15 + -8 + -1r = 9(4r + 18) Combine like terms: -15 + -8 = -23 -23 + -1r = 9(4r + 18) Reorder the terms: -23 + -1r = 9(18 + 4r) -23 + -1r = (18 * 9 + 4r * 9) -23 + -1r = (162 + 36r) Solving -23 + -1r = 162 + 36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36r' to each side of the equation. -23 + -1r + -36r = 162 + 36r + -36r Combine like terms: -1r + -36r = -37r -23 + -37r = 162 + 36r + -36r Combine like terms: 36r + -36r = 0 -23 + -37r = 162 + 0 -23 + -37r = 162 Add '23' to each side of the equation. -23 + 23 + -37r = 162 + 23 Combine like terms: -23 + 23 = 0 0 + -37r = 162 + 23 -37r = 162 + 23 Combine like terms: 162 + 23 = 185 -37r = 185 Divide each side by '-37'. r = -5 Simplifying r = -5
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