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Simplifying -37 + 5n = 7(n + -8) + 7 Reorder the terms: -37 + 5n = 7(-8 + n) + 7 -37 + 5n = (-8 * 7 + n * 7) + 7 -37 + 5n = (-56 + 7n) + 7 Reorder the terms: -37 + 5n = -56 + 7 + 7n Combine like terms: -56 + 7 = -49 -37 + 5n = -49 + 7n Solving -37 + 5n = -49 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -37 + 5n + -7n = -49 + 7n + -7n Combine like terms: 5n + -7n = -2n -37 + -2n = -49 + 7n + -7n Combine like terms: 7n + -7n = 0 -37 + -2n = -49 + 0 -37 + -2n = -49 Add '37' to each side of the equation. -37 + 37 + -2n = -49 + 37 Combine like terms: -37 + 37 = 0 0 + -2n = -49 + 37 -2n = -49 + 37 Combine like terms: -49 + 37 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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