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Simplifying 2r + -7(r + 1) = 3(r + -5) Reorder the terms: 2r + -7(1 + r) = 3(r + -5) 2r + (1 * -7 + r * -7) = 3(r + -5) 2r + (-7 + -7r) = 3(r + -5) Reorder the terms: -7 + 2r + -7r = 3(r + -5) Combine like terms: 2r + -7r = -5r -7 + -5r = 3(r + -5) Reorder the terms: -7 + -5r = 3(-5 + r) -7 + -5r = (-5 * 3 + r * 3) -7 + -5r = (-15 + 3r) Solving -7 + -5r = -15 + 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. -7 + -5r + -3r = -15 + 3r + -3r Combine like terms: -5r + -3r = -8r -7 + -8r = -15 + 3r + -3r Combine like terms: 3r + -3r = 0 -7 + -8r = -15 + 0 -7 + -8r = -15 Add '7' to each side of the equation. -7 + 7 + -8r = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -8r = -15 + 7 -8r = -15 + 7 Combine like terms: -15 + 7 = -8 -8r = -8 Divide each side by '-8'. r = 1 Simplifying r = 1
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