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Simplifying 7r + -3 + -4 = 5r + -8 + r + -7 Reorder the terms: -3 + -4 + 7r = 5r + -8 + r + -7 Combine like terms: -3 + -4 = -7 -7 + 7r = 5r + -8 + r + -7 Reorder the terms: -7 + 7r = -8 + -7 + 5r + r Combine like terms: -8 + -7 = -15 -7 + 7r = -15 + 5r + r Combine like terms: 5r + r = 6r -7 + 7r = -15 + 6r Solving -7 + 7r = -15 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -7 + 7r + -6r = -15 + 6r + -6r Combine like terms: 7r + -6r = 1r -7 + 1r = -15 + 6r + -6r Combine like terms: 6r + -6r = 0 -7 + 1r = -15 + 0 -7 + 1r = -15 Add '7' to each side of the equation. -7 + 7 + 1r = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 1r = -15 + 7 1r = -15 + 7 Combine like terms: -15 + 7 = -8 1r = -8 Divide each side by '1'. r = -8 Simplifying r = -8
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