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