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Simplifying -16 + 5n = -7(-6 + 5n) -16 + 5n = (-6 * -7 + 5n * -7) -16 + 5n = (42 + -35n) Solving -16 + 5n = 42 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -16 + 5n + 35n = 42 + -35n + 35n Combine like terms: 5n + 35n = 40n -16 + 40n = 42 + -35n + 35n Combine like terms: -35n + 35n = 0 -16 + 40n = 42 + 0 -16 + 40n = 42 Add '16' to each side of the equation. -16 + 16 + 40n = 42 + 16 Combine like terms: -16 + 16 = 0 0 + 40n = 42 + 16 40n = 42 + 16 Combine like terms: 42 + 16 = 58 40n = 58 Divide each side by '40'. n = 1.45 Simplifying n = 1.45
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