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Simplifying -21 + 6r = -3(4r + 1) Reorder the terms: -21 + 6r = -3(1 + 4r) -21 + 6r = (1 * -3 + 4r * -3) -21 + 6r = (-3 + -12r) Solving -21 + 6r = -3 + -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. -21 + 6r + 12r = -3 + -12r + 12r Combine like terms: 6r + 12r = 18r -21 + 18r = -3 + -12r + 12r Combine like terms: -12r + 12r = 0 -21 + 18r = -3 + 0 -21 + 18r = -3 Add '21' to each side of the equation. -21 + 21 + 18r = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 18r = -3 + 21 18r = -3 + 21 Combine like terms: -3 + 21 = 18 18r = 18 Divide each side by '18'. r = 1 Simplifying r = 1
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