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Simplifying -3r + -28 = -42 + -1r Reorder the terms: -28 + -3r = -42 + -1r Solving -28 + -3r = -42 + -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. -28 + -3r + r = -42 + -1r + r Combine like terms: -3r + r = -2r -28 + -2r = -42 + -1r + r Combine like terms: -1r + r = 0 -28 + -2r = -42 + 0 -28 + -2r = -42 Add '28' to each side of the equation. -28 + 28 + -2r = -42 + 28 Combine like terms: -28 + 28 = 0 0 + -2r = -42 + 28 -2r = -42 + 28 Combine like terms: -42 + 28 = -14 -2r = -14 Divide each side by '-2'. r = 7 Simplifying r = 7
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