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Simplifying -10r + 7 = -8 + -8r + -8r Reorder the terms: 7 + -10r = -8 + -8r + -8r Combine like terms: -8r + -8r = -16r 7 + -10r = -8 + -16r Solving 7 + -10r = -8 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. 7 + -10r + 16r = -8 + -16r + 16r Combine like terms: -10r + 16r = 6r 7 + 6r = -8 + -16r + 16r Combine like terms: -16r + 16r = 0 7 + 6r = -8 + 0 7 + 6r = -8 Add '-7' to each side of the equation. 7 + -7 + 6r = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 6r = -8 + -7 6r = -8 + -7 Combine like terms: -8 + -7 = -15 6r = -15 Divide each side by '6'. r = -2.5 Simplifying r = -2.5
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