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Simplifying 3(r + -14) + 7(r + -12) = 14 Reorder the terms: 3(-14 + r) + 7(r + -12) = 14 (-14 * 3 + r * 3) + 7(r + -12) = 14 (-42 + 3r) + 7(r + -12) = 14 Reorder the terms: -42 + 3r + 7(-12 + r) = 14 -42 + 3r + (-12 * 7 + r * 7) = 14 -42 + 3r + (-84 + 7r) = 14 Reorder the terms: -42 + -84 + 3r + 7r = 14 Combine like terms: -42 + -84 = -126 -126 + 3r + 7r = 14 Combine like terms: 3r + 7r = 10r -126 + 10r = 14 Solving -126 + 10r = 14 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '126' to each side of the equation. -126 + 126 + 10r = 14 + 126 Combine like terms: -126 + 126 = 0 0 + 10r = 14 + 126 10r = 14 + 126 Combine like terms: 14 + 126 = 140 10r = 140 Divide each side by '10'. r = 14 Simplifying r = 14
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