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Simplifying -7(-6 + 8n) + 3 = -16 + 5n (-6 * -7 + 8n * -7) + 3 = -16 + 5n (42 + -56n) + 3 = -16 + 5n Reorder the terms: 42 + 3 + -56n = -16 + 5n Combine like terms: 42 + 3 = 45 45 + -56n = -16 + 5n Solving 45 + -56n = -16 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 45 + -56n + -5n = -16 + 5n + -5n Combine like terms: -56n + -5n = -61n 45 + -61n = -16 + 5n + -5n Combine like terms: 5n + -5n = 0 45 + -61n = -16 + 0 45 + -61n = -16 Add '-45' to each side of the equation. 45 + -45 + -61n = -16 + -45 Combine like terms: 45 + -45 = 0 0 + -61n = -16 + -45 -61n = -16 + -45 Combine like terms: -16 + -45 = -61 -61n = -61 Divide each side by '-61'. n = 1 Simplifying n = 1
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