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Simplifying 7(r + -3) = r + -30 + 3r Reorder the terms: 7(-3 + r) = r + -30 + 3r (-3 * 7 + r * 7) = r + -30 + 3r (-21 + 7r) = r + -30 + 3r Reorder the terms: -21 + 7r = -30 + r + 3r Combine like terms: r + 3r = 4r -21 + 7r = -30 + 4r Solving -21 + 7r = -30 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -21 + 7r + -4r = -30 + 4r + -4r Combine like terms: 7r + -4r = 3r -21 + 3r = -30 + 4r + -4r Combine like terms: 4r + -4r = 0 -21 + 3r = -30 + 0 -21 + 3r = -30 Add '21' to each side of the equation. -21 + 21 + 3r = -30 + 21 Combine like terms: -21 + 21 = 0 0 + 3r = -30 + 21 3r = -30 + 21 Combine like terms: -30 + 21 = -9 3r = -9 Divide each side by '3'. r = -3 Simplifying r = -3
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