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Simplifying -2r + -7 = -1(4 + r) + -8 Reorder the terms: -7 + -2r = -1(4 + r) + -8 -7 + -2r = (4 * -1 + r * -1) + -8 -7 + -2r = (-4 + -1r) + -8 Reorder the terms: -7 + -2r = -4 + -8 + -1r Combine like terms: -4 + -8 = -12 -7 + -2r = -12 + -1r Solving -7 + -2r = -12 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -7 + -2r + r = -12 + -1r + r Combine like terms: -2r + r = -1r -7 + -1r = -12 + -1r + r Combine like terms: -1r + r = 0 -7 + -1r = -12 + 0 -7 + -1r = -12 Add '7' to each side of the equation. -7 + 7 + -1r = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -1r = -12 + 7 -1r = -12 + 7 Combine like terms: -12 + 7 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5
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