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Simplifying 7 + -2r + 4r + -15 = 3r + -5 Reorder the terms: 7 + -15 + -2r + 4r = 3r + -5 Combine like terms: 7 + -15 = -8 -8 + -2r + 4r = 3r + -5 Combine like terms: -2r + 4r = 2r -8 + 2r = 3r + -5 Reorder the terms: -8 + 2r = -5 + 3r Solving -8 + 2r = -5 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -8 + 2r + -3r = -5 + 3r + -3r Combine like terms: 2r + -3r = -1r -8 + -1r = -5 + 3r + -3r Combine like terms: 3r + -3r = 0 -8 + -1r = -5 + 0 -8 + -1r = -5 Add '8' to each side of the equation. -8 + 8 + -1r = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -1r = -5 + 8 -1r = -5 + 8 Combine like terms: -5 + 8 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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