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Simplifying 12(5r + -1) = 3r + -12(1 + -1r) Reorder the terms: 12(-1 + 5r) = 3r + -12(1 + -1r) (-1 * 12 + 5r * 12) = 3r + -12(1 + -1r) (-12 + 60r) = 3r + -12(1 + -1r) -12 + 60r = 3r + (1 * -12 + -1r * -12) -12 + 60r = 3r + (-12 + 12r) Reorder the terms: -12 + 60r = -12 + 3r + 12r Combine like terms: 3r + 12r = 15r -12 + 60r = -12 + 15r Add '12' to each side of the equation. -12 + 12 + 60r = -12 + 12 + 15r Combine like terms: -12 + 12 = 0 0 + 60r = -12 + 12 + 15r 60r = -12 + 12 + 15r Combine like terms: -12 + 12 = 0 60r = 0 + 15r 60r = 15r Solving 60r = 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. 60r + -15r = 15r + -15r Combine like terms: 60r + -15r = 45r 45r = 15r + -15r Combine like terms: 15r + -15r = 0 45r = 0 Divide each side by '45'. r = 0 Simplifying r = 0
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