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Simplifying 3r + -6 = 4r + -1(3r + -8) Reorder the terms: -6 + 3r = 4r + -1(3r + -8) Reorder the terms: -6 + 3r = 4r + -1(-8 + 3r) -6 + 3r = 4r + (-8 * -1 + 3r * -1) -6 + 3r = 4r + (8 + -3r) Reorder the terms: -6 + 3r = 8 + 4r + -3r Combine like terms: 4r + -3r = 1r -6 + 3r = 8 + 1r Solving -6 + 3r = 8 + 1r 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 + 3r + -1r = 8 + 1r + -1r Combine like terms: 3r + -1r = 2r -6 + 2r = 8 + 1r + -1r Combine like terms: 1r + -1r = 0 -6 + 2r = 8 + 0 -6 + 2r = 8 Add '6' to each side of the equation. -6 + 6 + 2r = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2r = 8 + 6 2r = 8 + 6 Combine like terms: 8 + 6 = 14 2r = 14 Divide each side by '2'. r = 7 Simplifying r = 7
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