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Simplifying -4(1 + -12r) = -7r + 51 (1 * -4 + -12r * -4) = -7r + 51 (-4 + 48r) = -7r + 51 Reorder the terms: -4 + 48r = 51 + -7r Solving -4 + 48r = 51 + -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. -4 + 48r + 7r = 51 + -7r + 7r Combine like terms: 48r + 7r = 55r -4 + 55r = 51 + -7r + 7r Combine like terms: -7r + 7r = 0 -4 + 55r = 51 + 0 -4 + 55r = 51 Add '4' to each side of the equation. -4 + 4 + 55r = 51 + 4 Combine like terms: -4 + 4 = 0 0 + 55r = 51 + 4 55r = 51 + 4 Combine like terms: 51 + 4 = 55 55r = 55 Divide each side by '55'. r = 1 Simplifying r = 1
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