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Simplifying 5r + 4 + -3r + -10 = r + -3 + -6 Reorder the terms: 4 + -10 + 5r + -3r = r + -3 + -6 Combine like terms: 4 + -10 = -6 -6 + 5r + -3r = r + -3 + -6 Combine like terms: 5r + -3r = 2r -6 + 2r = r + -3 + -6 Reorder the terms: -6 + 2r = -3 + -6 + r Combine like terms: -3 + -6 = -9 -6 + 2r = -9 + r Solving -6 + 2r = -9 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -6 + 2r + -1r = -9 + r + -1r Combine like terms: 2r + -1r = 1r -6 + 1r = -9 + r + -1r Combine like terms: r + -1r = 0 -6 + 1r = -9 + 0 -6 + 1r = -9 Add '6' to each side of the equation. -6 + 6 + 1r = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 1r = -9 + 6 1r = -9 + 6 Combine like terms: -9 + 6 = -3 1r = -3 Divide each side by '1'. r = -3 Simplifying r = -3
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