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Simplifying 6(r + -1) = r + -10 + 3r Reorder the terms: 6(-1 + r) = r + -10 + 3r (-1 * 6 + r * 6) = r + -10 + 3r (-6 + 6r) = r + -10 + 3r Reorder the terms: -6 + 6r = -10 + r + 3r Combine like terms: r + 3r = 4r -6 + 6r = -10 + 4r Solving -6 + 6r = -10 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -6 + 6r + -4r = -10 + 4r + -4r Combine like terms: 6r + -4r = 2r -6 + 2r = -10 + 4r + -4r Combine like terms: 4r + -4r = 0 -6 + 2r = -10 + 0 -6 + 2r = -10 Add '6' to each side of the equation. -6 + 6 + 2r = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 2r = -10 + 6 2r = -10 + 6 Combine like terms: -10 + 6 = -4 2r = -4 Divide each side by '2'. r = -2 Simplifying r = -2
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