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Simplifying -1 + 8(-2n + 1) = -3(-3n + 3) + 8 Reorder the terms: -1 + 8(1 + -2n) = -3(-3n + 3) + 8 -1 + (1 * 8 + -2n * 8) = -3(-3n + 3) + 8 -1 + (8 + -16n) = -3(-3n + 3) + 8 Combine like terms: -1 + 8 = 7 7 + -16n = -3(-3n + 3) + 8 Reorder the terms: 7 + -16n = -3(3 + -3n) + 8 7 + -16n = (3 * -3 + -3n * -3) + 8 7 + -16n = (-9 + 9n) + 8 Reorder the terms: 7 + -16n = -9 + 8 + 9n Combine like terms: -9 + 8 = -1 7 + -16n = -1 + 9n Solving 7 + -16n = -1 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 7 + -16n + -9n = -1 + 9n + -9n Combine like terms: -16n + -9n = -25n 7 + -25n = -1 + 9n + -9n Combine like terms: 9n + -9n = 0 7 + -25n = -1 + 0 7 + -25n = -1 Add '-7' to each side of the equation. 7 + -7 + -25n = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -25n = -1 + -7 -25n = -1 + -7 Combine like terms: -1 + -7 = -8 -25n = -8 Divide each side by '-25'. n = 0.32 Simplifying n = 0.32
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