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Simplifying 2(r + -3) + -2 = (r + -6) * 3 Reorder the terms: 2(-3 + r) + -2 = (r + -6) * 3 (-3 * 2 + r * 2) + -2 = (r + -6) * 3 (-6 + 2r) + -2 = (r + -6) * 3 Reorder the terms: -6 + -2 + 2r = (r + -6) * 3 Combine like terms: -6 + -2 = -8 -8 + 2r = (r + -6) * 3 Reorder the terms: -8 + 2r = (-6 + r) * 3 Reorder the terms for easier multiplication: -8 + 2r = 3(-6 + r) -8 + 2r = (-6 * 3 + r * 3) -8 + 2r = (-18 + 3r) Solving -8 + 2r = -18 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -8 + 2r + -3r = -18 + 3r + -3r Combine like terms: 2r + -3r = -1r -8 + -1r = -18 + 3r + -3r Combine like terms: 3r + -3r = 0 -8 + -1r = -18 + 0 -8 + -1r = -18 Add '8' to each side of the equation. -8 + 8 + -1r = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -1r = -18 + 8 -1r = -18 + 8 Combine like terms: -18 + 8 = -10 -1r = -10 Divide each side by '-1'. r = 10 Simplifying r = 10
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