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Simplifying 16 + -5(3n + -4) = 8(-2n + 11) Reorder the terms: 16 + -5(-4 + 3n) = 8(-2n + 11) 16 + (-4 * -5 + 3n * -5) = 8(-2n + 11) 16 + (20 + -15n) = 8(-2n + 11) Combine like terms: 16 + 20 = 36 36 + -15n = 8(-2n + 11) Reorder the terms: 36 + -15n = 8(11 + -2n) 36 + -15n = (11 * 8 + -2n * 8) 36 + -15n = (88 + -16n) Solving 36 + -15n = 88 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. 36 + -15n + 16n = 88 + -16n + 16n Combine like terms: -15n + 16n = 1n 36 + 1n = 88 + -16n + 16n Combine like terms: -16n + 16n = 0 36 + 1n = 88 + 0 36 + 1n = 88 Add '-36' to each side of the equation. 36 + -36 + 1n = 88 + -36 Combine like terms: 36 + -36 = 0 0 + 1n = 88 + -36 1n = 88 + -36 Combine like terms: 88 + -36 = 52 1n = 52 Divide each side by '1'. n = 52 Simplifying n = 52
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