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Simplifying 4n + -10 = -6(8n + -7) Reorder the terms: -10 + 4n = -6(8n + -7) Reorder the terms: -10 + 4n = -6(-7 + 8n) -10 + 4n = (-7 * -6 + 8n * -6) -10 + 4n = (42 + -48n) Solving -10 + 4n = 42 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. -10 + 4n + 48n = 42 + -48n + 48n Combine like terms: 4n + 48n = 52n -10 + 52n = 42 + -48n + 48n Combine like terms: -48n + 48n = 0 -10 + 52n = 42 + 0 -10 + 52n = 42 Add '10' to each side of the equation. -10 + 10 + 52n = 42 + 10 Combine like terms: -10 + 10 = 0 0 + 52n = 42 + 10 52n = 42 + 10 Combine like terms: 42 + 10 = 52 52n = 52 Divide each side by '52'. n = 1 Simplifying n = 1
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