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Simplifying 0.22n + 0.5 = 0.66(n + 3) Reorder the terms: 0.5 + 0.22n = 0.66(n + 3) Reorder the terms: 0.5 + 0.22n = 0.66(3 + n) 0.5 + 0.22n = (3 * 0.66 + n * 0.66) 0.5 + 0.22n = (1.98 + 0.66n) Solving 0.5 + 0.22n = 1.98 + 0.66n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.66n' to each side of the equation. 0.5 + 0.22n + -0.66n = 1.98 + 0.66n + -0.66n Combine like terms: 0.22n + -0.66n = -0.44n 0.5 + -0.44n = 1.98 + 0.66n + -0.66n Combine like terms: 0.66n + -0.66n = 0.00 0.5 + -0.44n = 1.98 + 0.00 0.5 + -0.44n = 1.98 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.44n = 1.98 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.44n = 1.98 + -0.5 -0.44n = 1.98 + -0.5 Combine like terms: 1.98 + -0.5 = 1.48 -0.44n = 1.48 Divide each side by '-0.44'. n = -3.363636364 Simplifying n = -3.363636364
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