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Simplifying -7 + 8r = -3(r + 4) + 6r Reorder the terms: -7 + 8r = -3(4 + r) + 6r -7 + 8r = (4 * -3 + r * -3) + 6r -7 + 8r = (-12 + -3r) + 6r Combine like terms: -3r + 6r = 3r -7 + 8r = -12 + 3r Solving -7 + 8r = -12 + 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. -7 + 8r + -3r = -12 + 3r + -3r Combine like terms: 8r + -3r = 5r -7 + 5r = -12 + 3r + -3r Combine like terms: 3r + -3r = 0 -7 + 5r = -12 + 0 -7 + 5r = -12 Add '7' to each side of the equation. -7 + 7 + 5r = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 5r = -12 + 7 5r = -12 + 7 Combine like terms: -12 + 7 = -5 5r = -5 Divide each side by '5'. r = -1 Simplifying r = -1
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