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Simplifying 6r + 2(5r + -3) = 12r + -13 Reorder the terms: 6r + 2(-3 + 5r) = 12r + -13 6r + (-3 * 2 + 5r * 2) = 12r + -13 6r + (-6 + 10r) = 12r + -13 Reorder the terms: -6 + 6r + 10r = 12r + -13 Combine like terms: 6r + 10r = 16r -6 + 16r = 12r + -13 Reorder the terms: -6 + 16r = -13 + 12r Solving -6 + 16r = -13 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -6 + 16r + -12r = -13 + 12r + -12r Combine like terms: 16r + -12r = 4r -6 + 4r = -13 + 12r + -12r Combine like terms: 12r + -12r = 0 -6 + 4r = -13 + 0 -6 + 4r = -13 Add '6' to each side of the equation. -6 + 6 + 4r = -13 + 6 Combine like terms: -6 + 6 = 0 0 + 4r = -13 + 6 4r = -13 + 6 Combine like terms: -13 + 6 = -7 4r = -7 Divide each side by '4'. r = -1.75 Simplifying r = -1.75
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