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Simplifying 3(r + -4) = 7(r + 2) + -2 Reorder the terms: 3(-4 + r) = 7(r + 2) + -2 (-4 * 3 + r * 3) = 7(r + 2) + -2 (-12 + 3r) = 7(r + 2) + -2 Reorder the terms: -12 + 3r = 7(2 + r) + -2 -12 + 3r = (2 * 7 + r * 7) + -2 -12 + 3r = (14 + 7r) + -2 Reorder the terms: -12 + 3r = 14 + -2 + 7r Combine like terms: 14 + -2 = 12 -12 + 3r = 12 + 7r Solving -12 + 3r = 12 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -12 + 3r + -7r = 12 + 7r + -7r Combine like terms: 3r + -7r = -4r -12 + -4r = 12 + 7r + -7r Combine like terms: 7r + -7r = 0 -12 + -4r = 12 + 0 -12 + -4r = 12 Add '12' to each side of the equation. -12 + 12 + -4r = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -4r = 12 + 12 -4r = 12 + 12 Combine like terms: 12 + 12 = 24 -4r = 24 Divide each side by '-4'. r = -6 Simplifying r = -6
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