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Simplifying -0.8(n + 19) = 1.5(n + -4) Reorder the terms: -0.8(19 + n) = 1.5(n + -4) (19 * -0.8 + n * -0.8) = 1.5(n + -4) (-15.2 + -0.8n) = 1.5(n + -4) Reorder the terms: -15.2 + -0.8n = 1.5(-4 + n) -15.2 + -0.8n = (-4 * 1.5 + n * 1.5) -15.2 + -0.8n = (-6 + 1.5n) Solving -15.2 + -0.8n = -6 + 1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5n' to each side of the equation. -15.2 + -0.8n + -1.5n = -6 + 1.5n + -1.5n Combine like terms: -0.8n + -1.5n = -2.3n -15.2 + -2.3n = -6 + 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 -15.2 + -2.3n = -6 + 0.0 -15.2 + -2.3n = -6 Add '15.2' to each side of the equation. -15.2 + 15.2 + -2.3n = -6 + 15.2 Combine like terms: -15.2 + 15.2 = 0.0 0.0 + -2.3n = -6 + 15.2 -2.3n = -6 + 15.2 Combine like terms: -6 + 15.2 = 9.2 -2.3n = 9.2 Divide each side by '-2.3'. n = -4 Simplifying n = -4
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