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Simplifying -6(5r + 3) = -3(1 + 5r) Reorder the terms: -6(3 + 5r) = -3(1 + 5r) (3 * -6 + 5r * -6) = -3(1 + 5r) (-18 + -30r) = -3(1 + 5r) -18 + -30r = (1 * -3 + 5r * -3) -18 + -30r = (-3 + -15r) Solving -18 + -30r = -3 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -18 + -30r + 15r = -3 + -15r + 15r Combine like terms: -30r + 15r = -15r -18 + -15r = -3 + -15r + 15r Combine like terms: -15r + 15r = 0 -18 + -15r = -3 + 0 -18 + -15r = -3 Add '18' to each side of the equation. -18 + 18 + -15r = -3 + 18 Combine like terms: -18 + 18 = 0 0 + -15r = -3 + 18 -15r = -3 + 18 Combine like terms: -3 + 18 = 15 -15r = 15 Divide each side by '-15'. r = -1 Simplifying r = -1
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