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Simplifying -5(1 + -5n) + -7(-2n + 5) = n + -1 + -1 (1 * -5 + -5n * -5) + -7(-2n + 5) = n + -1 + -1 (-5 + 25n) + -7(-2n + 5) = n + -1 + -1 Reorder the terms: -5 + 25n + -7(5 + -2n) = n + -1 + -1 -5 + 25n + (5 * -7 + -2n * -7) = n + -1 + -1 -5 + 25n + (-35 + 14n) = n + -1 + -1 Reorder the terms: -5 + -35 + 25n + 14n = n + -1 + -1 Combine like terms: -5 + -35 = -40 -40 + 25n + 14n = n + -1 + -1 Combine like terms: 25n + 14n = 39n -40 + 39n = n + -1 + -1 Reorder the terms: -40 + 39n = -1 + -1 + n Combine like terms: -1 + -1 = -2 -40 + 39n = -2 + n Solving -40 + 39n = -2 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -40 + 39n + -1n = -2 + n + -1n Combine like terms: 39n + -1n = 38n -40 + 38n = -2 + n + -1n Combine like terms: n + -1n = 0 -40 + 38n = -2 + 0 -40 + 38n = -2 Add '40' to each side of the equation. -40 + 40 + 38n = -2 + 40 Combine like terms: -40 + 40 = 0 0 + 38n = -2 + 40 38n = -2 + 40 Combine like terms: -2 + 40 = 38 38n = 38 Divide each side by '38'. n = 1 Simplifying n = 1
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