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Simplifying -6 + 3r = -4(r + 2) + 5r Reorder the terms: -6 + 3r = -4(2 + r) + 5r -6 + 3r = (2 * -4 + r * -4) + 5r -6 + 3r = (-8 + -4r) + 5r Combine like terms: -4r + 5r = 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 = -2 2r = -2 Divide each side by '2'. r = -1 Simplifying r = -1
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