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Simplifying 0.7(n + -17) = -0.1(n + -1) Reorder the terms: 0.7(-17 + n) = -0.1(n + -1) (-17 * 0.7 + n * 0.7) = -0.1(n + -1) (-11.9 + 0.7n) = -0.1(n + -1) Reorder the terms: -11.9 + 0.7n = -0.1(-1 + n) -11.9 + 0.7n = (-1 * -0.1 + n * -0.1) -11.9 + 0.7n = (0.1 + -0.1n) Solving -11.9 + 0.7n = 0.1 + -0.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.1n' to each side of the equation. -11.9 + 0.7n + 0.1n = 0.1 + -0.1n + 0.1n Combine like terms: 0.7n + 0.1n = 0.8n -11.9 + 0.8n = 0.1 + -0.1n + 0.1n Combine like terms: -0.1n + 0.1n = 0.0 -11.9 + 0.8n = 0.1 + 0.0 -11.9 + 0.8n = 0.1 Add '11.9' to each side of the equation. -11.9 + 11.9 + 0.8n = 0.1 + 11.9 Combine like terms: -11.9 + 11.9 = 0.0 0.0 + 0.8n = 0.1 + 11.9 0.8n = 0.1 + 11.9 Combine like terms: 0.1 + 11.9 = 12 0.8n = 12 Divide each side by '0.8'. n = 15 Simplifying n = 15
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