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Simplifying 8 + -7(-1n + 3) = 9(5n + -4) + 1 Reorder the terms: 8 + -7(3 + -1n) = 9(5n + -4) + 1 8 + (3 * -7 + -1n * -7) = 9(5n + -4) + 1 8 + (-21 + 7n) = 9(5n + -4) + 1 Combine like terms: 8 + -21 = -13 -13 + 7n = 9(5n + -4) + 1 Reorder the terms: -13 + 7n = 9(-4 + 5n) + 1 -13 + 7n = (-4 * 9 + 5n * 9) + 1 -13 + 7n = (-36 + 45n) + 1 Reorder the terms: -13 + 7n = -36 + 1 + 45n Combine like terms: -36 + 1 = -35 -13 + 7n = -35 + 45n Solving -13 + 7n = -35 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. -13 + 7n + -45n = -35 + 45n + -45n Combine like terms: 7n + -45n = -38n -13 + -38n = -35 + 45n + -45n Combine like terms: 45n + -45n = 0 -13 + -38n = -35 + 0 -13 + -38n = -35 Add '13' to each side of the equation. -13 + 13 + -38n = -35 + 13 Combine like terms: -13 + 13 = 0 0 + -38n = -35 + 13 -38n = -35 + 13 Combine like terms: -35 + 13 = -22 -38n = -22 Divide each side by '-38'. n = 0.5789473684 Simplifying n = 0.5789473684
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