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Simplifying -70 = 8(6 + -4n) + -1(4 + 6n) -70 = (6 * 8 + -4n * 8) + -1(4 + 6n) -70 = (48 + -32n) + -1(4 + 6n) -70 = 48 + -32n + (4 * -1 + 6n * -1) -70 = 48 + -32n + (-4 + -6n) Reorder the terms: -70 = 48 + -4 + -32n + -6n Combine like terms: 48 + -4 = 44 -70 = 44 + -32n + -6n Combine like terms: -32n + -6n = -38n -70 = 44 + -38n Solving -70 = 44 + -38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '38n' to each side of the equation. -70 + 38n = 44 + -38n + 38n Combine like terms: -38n + 38n = 0 -70 + 38n = 44 + 0 -70 + 38n = 44 Add '70' to each side of the equation. -70 + 70 + 38n = 44 + 70 Combine like terms: -70 + 70 = 0 0 + 38n = 44 + 70 38n = 44 + 70 Combine like terms: 44 + 70 = 114 38n = 114 Divide each side by '38'. n = 3 Simplifying n = 3
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