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Simplifying 4(3 + -2r) = r + -6(r + 5) (3 * 4 + -2r * 4) = r + -6(r + 5) (12 + -8r) = r + -6(r + 5) Reorder the terms: 12 + -8r = r + -6(5 + r) 12 + -8r = r + (5 * -6 + r * -6) 12 + -8r = r + (-30 + -6r) Reorder the terms: 12 + -8r = -30 + r + -6r Combine like terms: r + -6r = -5r 12 + -8r = -30 + -5r Solving 12 + -8r = -30 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 12 + -8r + 5r = -30 + -5r + 5r Combine like terms: -8r + 5r = -3r 12 + -3r = -30 + -5r + 5r Combine like terms: -5r + 5r = 0 12 + -3r = -30 + 0 12 + -3r = -30 Add '-12' to each side of the equation. 12 + -12 + -3r = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -3r = -30 + -12 -3r = -30 + -12 Combine like terms: -30 + -12 = -42 -3r = -42 Divide each side by '-3'. r = 14 Simplifying r = 14
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