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Simplifying -13 + -1r = 7 + 6(r + -8) + 1 Reorder the terms: -13 + -1r = 7 + 6(-8 + r) + 1 -13 + -1r = 7 + (-8 * 6 + r * 6) + 1 -13 + -1r = 7 + (-48 + 6r) + 1 Reorder the terms: -13 + -1r = 7 + -48 + 1 + 6r Combine like terms: 7 + -48 = -41 -13 + -1r = -41 + 1 + 6r Combine like terms: -41 + 1 = -40 -13 + -1r = -40 + 6r Solving -13 + -1r = -40 + 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. -13 + -1r + -6r = -40 + 6r + -6r Combine like terms: -1r + -6r = -7r -13 + -7r = -40 + 6r + -6r Combine like terms: 6r + -6r = 0 -13 + -7r = -40 + 0 -13 + -7r = -40 Add '13' to each side of the equation. -13 + 13 + -7r = -40 + 13 Combine like terms: -13 + 13 = 0 0 + -7r = -40 + 13 -7r = -40 + 13 Combine like terms: -40 + 13 = -27 -7r = -27 Divide each side by '-7'. r = 3.857142857 Simplifying r = 3.857142857
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