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Simplifying 5(n + -2) + -14n = -3n + -1(r + -4n) Reorder the terms: 5(-2 + n) + -14n = -3n + -1(r + -4n) (-2 * 5 + n * 5) + -14n = -3n + -1(r + -4n) (-10 + 5n) + -14n = -3n + -1(r + -4n) Combine like terms: 5n + -14n = -9n -10 + -9n = -3n + -1(r + -4n) Reorder the terms: -10 + -9n = -3n + -1(-4n + r) -10 + -9n = -3n + (-4n * -1 + r * -1) -10 + -9n = -3n + (4n + -1r) Combine like terms: -3n + 4n = 1n -10 + -9n = 1n + -1r Solving -10 + -9n = 1n + -1r Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -10 + -9n + -1n = 1n + -1n + -1r Combine like terms: -9n + -1n = -10n -10 + -10n = 1n + -1n + -1r Combine like terms: 1n + -1n = 0 -10 + -10n = 0 + -1r -10 + -10n = -1r Add '10' to each side of the equation. -10 + 10 + -10n = 10 + -1r Combine like terms: -10 + 10 = 0 0 + -10n = 10 + -1r -10n = 10 + -1r Divide each side by '-10'. n = -1 + 0.1r Simplifying n = -1 + 0.1r
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