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Simplifying -1r + -15 = 1 + 5r + -4r Reorder the terms: -15 + -1r = 1 + 5r + -4r Combine like terms: 5r + -4r = 1r -15 + -1r = 1 + 1r Solving -15 + -1r = 1 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -15 + -1r + -1r = 1 + 1r + -1r Combine like terms: -1r + -1r = -2r -15 + -2r = 1 + 1r + -1r Combine like terms: 1r + -1r = 0 -15 + -2r = 1 + 0 -15 + -2r = 1 Add '15' to each side of the equation. -15 + 15 + -2r = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -2r = 1 + 15 -2r = 1 + 15 Combine like terms: 1 + 15 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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