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Simplifying -3(1 + 7r) = 51 + -12r (1 * -3 + 7r * -3) = 51 + -12r (-3 + -21r) = 51 + -12r Solving -3 + -21r = 51 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. -3 + -21r + 12r = 51 + -12r + 12r Combine like terms: -21r + 12r = -9r -3 + -9r = 51 + -12r + 12r Combine like terms: -12r + 12r = 0 -3 + -9r = 51 + 0 -3 + -9r = 51 Add '3' to each side of the equation. -3 + 3 + -9r = 51 + 3 Combine like terms: -3 + 3 = 0 0 + -9r = 51 + 3 -9r = 51 + 3 Combine like terms: 51 + 3 = 54 -9r = 54 Divide each side by '-9'. r = -6 Simplifying r = -6
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