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Simplifying 6r + 21 = 4(-6r + -3) + 3 Reorder the terms: 21 + 6r = 4(-6r + -3) + 3 Reorder the terms: 21 + 6r = 4(-3 + -6r) + 3 21 + 6r = (-3 * 4 + -6r * 4) + 3 21 + 6r = (-12 + -24r) + 3 Reorder the terms: 21 + 6r = -12 + 3 + -24r Combine like terms: -12 + 3 = -9 21 + 6r = -9 + -24r Solving 21 + 6r = -9 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. 21 + 6r + 24r = -9 + -24r + 24r Combine like terms: 6r + 24r = 30r 21 + 30r = -9 + -24r + 24r Combine like terms: -24r + 24r = 0 21 + 30r = -9 + 0 21 + 30r = -9 Add '-21' to each side of the equation. 21 + -21 + 30r = -9 + -21 Combine like terms: 21 + -21 = 0 0 + 30r = -9 + -21 30r = -9 + -21 Combine like terms: -9 + -21 = -30 30r = -30 Divide each side by '30'. r = -1 Simplifying r = -1
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