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Simplifying -6(-5r + -7) + -3r = -30 + 3r Reorder the terms: -6(-7 + -5r) + -3r = -30 + 3r (-7 * -6 + -5r * -6) + -3r = -30 + 3r (42 + 30r) + -3r = -30 + 3r Combine like terms: 30r + -3r = 27r 42 + 27r = -30 + 3r Solving 42 + 27r = -30 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 42 + 27r + -3r = -30 + 3r + -3r Combine like terms: 27r + -3r = 24r 42 + 24r = -30 + 3r + -3r Combine like terms: 3r + -3r = 0 42 + 24r = -30 + 0 42 + 24r = -30 Add '-42' to each side of the equation. 42 + -42 + 24r = -30 + -42 Combine like terms: 42 + -42 = 0 0 + 24r = -30 + -42 24r = -30 + -42 Combine like terms: -30 + -42 = -72 24r = -72 Divide each side by '24'. r = -3 Simplifying r = -3
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