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Simplifying 3(r + -6) = 2(2r + -7) Reorder the terms: 3(-6 + r) = 2(2r + -7) (-6 * 3 + r * 3) = 2(2r + -7) (-18 + 3r) = 2(2r + -7) Reorder the terms: -18 + 3r = 2(-7 + 2r) -18 + 3r = (-7 * 2 + 2r * 2) -18 + 3r = (-14 + 4r) Solving -18 + 3r = -14 + 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. -18 + 3r + -4r = -14 + 4r + -4r Combine like terms: 3r + -4r = -1r -18 + -1r = -14 + 4r + -4r Combine like terms: 4r + -4r = 0 -18 + -1r = -14 + 0 -18 + -1r = -14 Add '18' to each side of the equation. -18 + 18 + -1r = -14 + 18 Combine like terms: -18 + 18 = 0 0 + -1r = -14 + 18 -1r = -14 + 18 Combine like terms: -14 + 18 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4
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