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Simplifying -6 + 4r = 2(r + -4) + -12 Reorder the terms: -6 + 4r = 2(-4 + r) + -12 -6 + 4r = (-4 * 2 + r * 2) + -12 -6 + 4r = (-8 + 2r) + -12 Reorder the terms: -6 + 4r = -8 + -12 + 2r Combine like terms: -8 + -12 = -20 -6 + 4r = -20 + 2r Solving -6 + 4r = -20 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -6 + 4r + -2r = -20 + 2r + -2r Combine like terms: 4r + -2r = 2r -6 + 2r = -20 + 2r + -2r Combine like terms: 2r + -2r = 0 -6 + 2r = -20 + 0 -6 + 2r = -20 Add '6' to each side of the equation. -6 + 6 + 2r = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 2r = -20 + 6 2r = -20 + 6 Combine like terms: -20 + 6 = -14 2r = -14 Divide each side by '2'. r = -7 Simplifying r = -7
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