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Simplifying 3(7r + -7) = -6 + 6r Reorder the terms: 3(-7 + 7r) = -6 + 6r (-7 * 3 + 7r * 3) = -6 + 6r (-21 + 21r) = -6 + 6r Solving -21 + 21r = -6 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -21 + 21r + -6r = -6 + 6r + -6r Combine like terms: 21r + -6r = 15r -21 + 15r = -6 + 6r + -6r Combine like terms: 6r + -6r = 0 -21 + 15r = -6 + 0 -21 + 15r = -6 Add '21' to each side of the equation. -21 + 21 + 15r = -6 + 21 Combine like terms: -21 + 21 = 0 0 + 15r = -6 + 21 15r = -6 + 21 Combine like terms: -6 + 21 = 15 15r = 15 Divide each side by '15'. r = 1 Simplifying r = 1
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