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Simplifying -15 + 6r = 3(r + 7) + -6r Reorder the terms: -15 + 6r = 3(7 + r) + -6r -15 + 6r = (7 * 3 + r * 3) + -6r -15 + 6r = (21 + 3r) + -6r Combine like terms: 3r + -6r = -3r -15 + 6r = 21 + -3r Solving -15 + 6r = 21 + -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. -15 + 6r + 3r = 21 + -3r + 3r Combine like terms: 6r + 3r = 9r -15 + 9r = 21 + -3r + 3r Combine like terms: -3r + 3r = 0 -15 + 9r = 21 + 0 -15 + 9r = 21 Add '15' to each side of the equation. -15 + 15 + 9r = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 9r = 21 + 15 9r = 21 + 15 Combine like terms: 21 + 15 = 36 9r = 36 Divide each side by '9'. r = 4 Simplifying r = 4
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