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Simplifying -6r + 40 = 7(r + 4) + -1 Reorder the terms: 40 + -6r = 7(r + 4) + -1 Reorder the terms: 40 + -6r = 7(4 + r) + -1 40 + -6r = (4 * 7 + r * 7) + -1 40 + -6r = (28 + 7r) + -1 Reorder the terms: 40 + -6r = 28 + -1 + 7r Combine like terms: 28 + -1 = 27 40 + -6r = 27 + 7r Solving 40 + -6r = 27 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 40 + -6r + -7r = 27 + 7r + -7r Combine like terms: -6r + -7r = -13r 40 + -13r = 27 + 7r + -7r Combine like terms: 7r + -7r = 0 40 + -13r = 27 + 0 40 + -13r = 27 Add '-40' to each side of the equation. 40 + -40 + -13r = 27 + -40 Combine like terms: 40 + -40 = 0 0 + -13r = 27 + -40 -13r = 27 + -40 Combine like terms: 27 + -40 = -13 -13r = -13 Divide each side by '-13'. r = 1 Simplifying r = 1
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