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Simplifying 6(r + -1) = 6(2r + -6) Reorder the terms: 6(-1 + r) = 6(2r + -6) (-1 * 6 + r * 6) = 6(2r + -6) (-6 + 6r) = 6(2r + -6) Reorder the terms: -6 + 6r = 6(-6 + 2r) -6 + 6r = (-6 * 6 + 2r * 6) -6 + 6r = (-36 + 12r) Solving -6 + 6r = -36 + 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 + 6r + -12r = -36 + 12r + -12r Combine like terms: 6r + -12r = -6r -6 + -6r = -36 + 12r + -12r Combine like terms: 12r + -12r = 0 -6 + -6r = -36 + 0 -6 + -6r = -36 Add '6' to each side of the equation. -6 + 6 + -6r = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -6r = -36 + 6 -6r = -36 + 6 Combine like terms: -36 + 6 = -30 -6r = -30 Divide each side by '-6'. r = 5 Simplifying r = 5
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