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Simplifying -3(7r + 5) = -33 + -6r Reorder the terms: -3(5 + 7r) = -33 + -6r (5 * -3 + 7r * -3) = -33 + -6r (-15 + -21r) = -33 + -6r Solving -15 + -21r = -33 + -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. -15 + -21r + 6r = -33 + -6r + 6r Combine like terms: -21r + 6r = -15r -15 + -15r = -33 + -6r + 6r Combine like terms: -6r + 6r = 0 -15 + -15r = -33 + 0 -15 + -15r = -33 Add '15' to each side of the equation. -15 + 15 + -15r = -33 + 15 Combine like terms: -15 + 15 = 0 0 + -15r = -33 + 15 -15r = -33 + 15 Combine like terms: -33 + 15 = -18 -15r = -18 Divide each side by '-15'. r = 1.2 Simplifying r = 1.2
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