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Simplifying 6r + -8 = 2(5r + -6) Reorder the terms: -8 + 6r = 2(5r + -6) Reorder the terms: -8 + 6r = 2(-6 + 5r) -8 + 6r = (-6 * 2 + 5r * 2) -8 + 6r = (-12 + 10r) Solving -8 + 6r = -12 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -8 + 6r + -10r = -12 + 10r + -10r Combine like terms: 6r + -10r = -4r -8 + -4r = -12 + 10r + -10r Combine like terms: 10r + -10r = 0 -8 + -4r = -12 + 0 -8 + -4r = -12 Add '8' to each side of the equation. -8 + 8 + -4r = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -4r = -12 + 8 -4r = -12 + 8 Combine like terms: -12 + 8 = -4 -4r = -4 Divide each side by '-4'. r = 1 Simplifying r = 1
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