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Simplifying -3(r + 4) = -8(r + -3) + r Reorder the terms: -3(4 + r) = -8(r + -3) + r (4 * -3 + r * -3) = -8(r + -3) + r (-12 + -3r) = -8(r + -3) + r Reorder the terms: -12 + -3r = -8(-3 + r) + r -12 + -3r = (-3 * -8 + r * -8) + r -12 + -3r = (24 + -8r) + r Combine like terms: -8r + r = -7r -12 + -3r = 24 + -7r Solving -12 + -3r = 24 + -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 = 24 + -7r + 7r Combine like terms: -3r + 7r = 4r -12 + 4r = 24 + -7r + 7r Combine like terms: -7r + 7r = 0 -12 + 4r = 24 + 0 -12 + 4r = 24 Add '12' to each side of the equation. -12 + 12 + 4r = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 4r = 24 + 12 4r = 24 + 12 Combine like terms: 24 + 12 = 36 4r = 36 Divide each side by '4'. r = 9 Simplifying r = 9
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