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Simplifying 5r + 3(r + -7) = -1(r + 8) Reorder the terms: 5r + 3(-7 + r) = -1(r + 8) 5r + (-7 * 3 + r * 3) = -1(r + 8) 5r + (-21 + 3r) = -1(r + 8) Reorder the terms: -21 + 5r + 3r = -1(r + 8) Combine like terms: 5r + 3r = 8r -21 + 8r = -1(r + 8) Reorder the terms: -21 + 8r = -1(8 + r) -21 + 8r = (8 * -1 + r * -1) -21 + 8r = (-8 + -1r) Solving -21 + 8r = -8 + -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. -21 + 8r + r = -8 + -1r + r Combine like terms: 8r + r = 9r -21 + 9r = -8 + -1r + r Combine like terms: -1r + r = 0 -21 + 9r = -8 + 0 -21 + 9r = -8 Add '21' to each side of the equation. -21 + 21 + 9r = -8 + 21 Combine like terms: -21 + 21 = 0 0 + 9r = -8 + 21 9r = -8 + 21 Combine like terms: -8 + 21 = 13 9r = 13 Divide each side by '9'. r = 1.444444444 Simplifying r = 1.444444444
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