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Simplifying -16 + r + 1 + 5r = 7r + -7 + r Reorder the terms: -16 + 1 + r + 5r = 7r + -7 + r Combine like terms: -16 + 1 = -15 -15 + r + 5r = 7r + -7 + r Combine like terms: r + 5r = 6r -15 + 6r = 7r + -7 + r Reorder the terms: -15 + 6r = -7 + 7r + r Combine like terms: 7r + r = 8r -15 + 6r = -7 + 8r Solving -15 + 6r = -7 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -15 + 6r + -8r = -7 + 8r + -8r Combine like terms: 6r + -8r = -2r -15 + -2r = -7 + 8r + -8r Combine like terms: 8r + -8r = 0 -15 + -2r = -7 + 0 -15 + -2r = -7 Add '15' to each side of the equation. -15 + 15 + -2r = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -2r = -7 + 15 -2r = -7 + 15 Combine like terms: -7 + 15 = 8 -2r = 8 Divide each side by '-2'. r = -4 Simplifying r = -4
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