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Simplifying 7 + -6r + 8 = -3 + -4r Reorder the terms: 7 + 8 + -6r = -3 + -4r Combine like terms: 7 + 8 = 15 15 + -6r = -3 + -4r Solving 15 + -6r = -3 + -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. 15 + -6r + 4r = -3 + -4r + 4r Combine like terms: -6r + 4r = -2r 15 + -2r = -3 + -4r + 4r Combine like terms: -4r + 4r = 0 15 + -2r = -3 + 0 15 + -2r = -3 Add '-15' to each side of the equation. 15 + -15 + -2r = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -2r = -3 + -15 -2r = -3 + -15 Combine like terms: -3 + -15 = -18 -2r = -18 Divide each side by '-2'. r = 9 Simplifying r = 9
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