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Simplifying 3r + -18 + 2 = 4r + -21 Reorder the terms: -18 + 2 + 3r = 4r + -21 Combine like terms: -18 + 2 = -16 -16 + 3r = 4r + -21 Reorder the terms: -16 + 3r = -21 + 4r Solving -16 + 3r = -21 + 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. -16 + 3r + -4r = -21 + 4r + -4r Combine like terms: 3r + -4r = -1r -16 + -1r = -21 + 4r + -4r Combine like terms: 4r + -4r = 0 -16 + -1r = -21 + 0 -16 + -1r = -21 Add '16' to each side of the equation. -16 + 16 + -1r = -21 + 16 Combine like terms: -16 + 16 = 0 0 + -1r = -21 + 16 -1r = -21 + 16 Combine like terms: -21 + 16 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5
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