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Simplifying -48 = 7(n + -6) + 1 Reorder the terms: -48 = 7(-6 + n) + 1 -48 = (-6 * 7 + n * 7) + 1 -48 = (-42 + 7n) + 1 Reorder the terms: -48 = -42 + 1 + 7n Combine like terms: -42 + 1 = -41 -48 = -41 + 7n Solving -48 = -41 + 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. -48 + -7n = -41 + 7n + -7n Combine like terms: 7n + -7n = 0 -48 + -7n = -41 + 0 -48 + -7n = -41 Add '48' to each side of the equation. -48 + 48 + -7n = -41 + 48 Combine like terms: -48 + 48 = 0 0 + -7n = -41 + 48 -7n = -41 + 48 Combine like terms: -41 + 48 = 7 -7n = 7 Divide each side by '-7'. n = -1 Simplifying n = -1
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