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Simplifying 5(n + 2) = -1n + 10(n + -7) Reorder the terms: 5(2 + n) = -1n + 10(n + -7) (2 * 5 + n * 5) = -1n + 10(n + -7) (10 + 5n) = -1n + 10(n + -7) Reorder the terms: 10 + 5n = -1n + 10(-7 + n) 10 + 5n = -1n + (-7 * 10 + n * 10) 10 + 5n = -1n + (-70 + 10n) Reorder the terms: 10 + 5n = -70 + -1n + 10n Combine like terms: -1n + 10n = 9n 10 + 5n = -70 + 9n Solving 10 + 5n = -70 + 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. 10 + 5n + -9n = -70 + 9n + -9n Combine like terms: 5n + -9n = -4n 10 + -4n = -70 + 9n + -9n Combine like terms: 9n + -9n = 0 10 + -4n = -70 + 0 10 + -4n = -70 Add '-10' to each side of the equation. 10 + -10 + -4n = -70 + -10 Combine like terms: 10 + -10 = 0 0 + -4n = -70 + -10 -4n = -70 + -10 Combine like terms: -70 + -10 = -80 -4n = -80 Divide each side by '-4'. n = 20 Simplifying n = 20
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