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Simplifying 7(r + -3) = r + -49 + 2r Reorder the terms: 7(-3 + r) = r + -49 + 2r (-3 * 7 + r * 7) = r + -49 + 2r (-21 + 7r) = r + -49 + 2r Reorder the terms: -21 + 7r = -49 + r + 2r Combine like terms: r + 2r = 3r -21 + 7r = -49 + 3r Solving -21 + 7r = -49 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -21 + 7r + -3r = -49 + 3r + -3r Combine like terms: 7r + -3r = 4r -21 + 4r = -49 + 3r + -3r Combine like terms: 3r + -3r = 0 -21 + 4r = -49 + 0 -21 + 4r = -49 Add '21' to each side of the equation. -21 + 21 + 4r = -49 + 21 Combine like terms: -21 + 21 = 0 0 + 4r = -49 + 21 4r = -49 + 21 Combine like terms: -49 + 21 = -28 4r = -28 Divide each side by '4'. r = -7 Simplifying r = -7
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