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Simplifying 12r + 48 = 2r + 10 + -3r Reorder the terms: 48 + 12r = 2r + 10 + -3r Reorder the terms: 48 + 12r = 10 + 2r + -3r Combine like terms: 2r + -3r = -1r 48 + 12r = 10 + -1r Solving 48 + 12r = 10 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 48 + 12r + r = 10 + -1r + r Combine like terms: 12r + r = 13r 48 + 13r = 10 + -1r + r Combine like terms: -1r + r = 0 48 + 13r = 10 + 0 48 + 13r = 10 Add '-48' to each side of the equation. 48 + -48 + 13r = 10 + -48 Combine like terms: 48 + -48 = 0 0 + 13r = 10 + -48 13r = 10 + -48 Combine like terms: 10 + -48 = -38 13r = -38 Divide each side by '13'. r = -2.923076923 Simplifying r = -2.923076923
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