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Simplifying 8 + 3(r + -7) = (r + 2) + -5 Reorder the terms: 8 + 3(-7 + r) = (r + 2) + -5 8 + (-7 * 3 + r * 3) = (r + 2) + -5 8 + (-21 + 3r) = (r + 2) + -5 Combine like terms: 8 + -21 = -13 -13 + 3r = (r + 2) + -5 Reorder the terms: -13 + 3r = (2 + r) + -5 Remove parenthesis around (2 + r) -13 + 3r = 2 + r + -5 Reorder the terms: -13 + 3r = 2 + -5 + r Combine like terms: 2 + -5 = -3 -13 + 3r = -3 + r Solving -13 + 3r = -3 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -13 + 3r + -1r = -3 + r + -1r Combine like terms: 3r + -1r = 2r -13 + 2r = -3 + r + -1r Combine like terms: r + -1r = 0 -13 + 2r = -3 + 0 -13 + 2r = -3 Add '13' to each side of the equation. -13 + 13 + 2r = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 2r = -3 + 13 2r = -3 + 13 Combine like terms: -3 + 13 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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