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Simplifying 6(2r + -2) = 8r + 5(r + -1) Reorder the terms: 6(-2 + 2r) = 8r + 5(r + -1) (-2 * 6 + 2r * 6) = 8r + 5(r + -1) (-12 + 12r) = 8r + 5(r + -1) Reorder the terms: -12 + 12r = 8r + 5(-1 + r) -12 + 12r = 8r + (-1 * 5 + r * 5) -12 + 12r = 8r + (-5 + 5r) Reorder the terms: -12 + 12r = -5 + 8r + 5r Combine like terms: 8r + 5r = 13r -12 + 12r = -5 + 13r Solving -12 + 12r = -5 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. -12 + 12r + -13r = -5 + 13r + -13r Combine like terms: 12r + -13r = -1r -12 + -1r = -5 + 13r + -13r Combine like terms: 13r + -13r = 0 -12 + -1r = -5 + 0 -12 + -1r = -5 Add '12' to each side of the equation. -12 + 12 + -1r = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -1r = -5 + 12 -1r = -5 + 12 Combine like terms: -5 + 12 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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