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Simplifying 7 + -5(n + 2) + -2n = 2(5n + -1) * 1 Reorder the terms: 7 + -5(2 + n) + -2n = 2(5n + -1) * 1 7 + (2 * -5 + n * -5) + -2n = 2(5n + -1) * 1 7 + (-10 + -5n) + -2n = 2(5n + -1) * 1 Combine like terms: 7 + -10 = -3 -3 + -5n + -2n = 2(5n + -1) * 1 Combine like terms: -5n + -2n = -7n -3 + -7n = 2(5n + -1) * 1 Reorder the terms: -3 + -7n = 2(-1 + 5n) * 1 Reorder the terms for easier multiplication: -3 + -7n = 2 * 1(-1 + 5n) Multiply 2 * 1 -3 + -7n = 2(-1 + 5n) -3 + -7n = (-1 * 2 + 5n * 2) -3 + -7n = (-2 + 10n) Solving -3 + -7n = -2 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -3 + -7n + -10n = -2 + 10n + -10n Combine like terms: -7n + -10n = -17n -3 + -17n = -2 + 10n + -10n Combine like terms: 10n + -10n = 0 -3 + -17n = -2 + 0 -3 + -17n = -2 Add '3' to each side of the equation. -3 + 3 + -17n = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -17n = -2 + 3 -17n = -2 + 3 Combine like terms: -2 + 3 = 1 -17n = 1 Divide each side by '-17'. n = -0.05882352941 Simplifying n = -0.05882352941
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