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Simplifying 6r + -3(r + -7) = 33 + 6r Reorder the terms: 6r + -3(-7 + r) = 33 + 6r 6r + (-7 * -3 + r * -3) = 33 + 6r 6r + (21 + -3r) = 33 + 6r Reorder the terms: 21 + 6r + -3r = 33 + 6r Combine like terms: 6r + -3r = 3r 21 + 3r = 33 + 6r Solving 21 + 3r = 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. 21 + 3r + -6r = 33 + 6r + -6r Combine like terms: 3r + -6r = -3r 21 + -3r = 33 + 6r + -6r Combine like terms: 6r + -6r = 0 21 + -3r = 33 + 0 21 + -3r = 33 Add '-21' to each side of the equation. 21 + -21 + -3r = 33 + -21 Combine like terms: 21 + -21 = 0 0 + -3r = 33 + -21 -3r = 33 + -21 Combine like terms: 33 + -21 = 12 -3r = 12 Divide each side by '-3'. r = -4 Simplifying r = -4
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