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Simplifying -222 = 8(5n + -7) + -6 Reorder the terms: -222 = 8(-7 + 5n) + -6 -222 = (-7 * 8 + 5n * 8) + -6 -222 = (-56 + 40n) + -6 Reorder the terms: -222 = -56 + -6 + 40n Combine like terms: -56 + -6 = -62 -222 = -62 + 40n Solving -222 = -62 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -222 + -40n = -62 + 40n + -40n Combine like terms: 40n + -40n = 0 -222 + -40n = -62 + 0 -222 + -40n = -62 Add '222' to each side of the equation. -222 + 222 + -40n = -62 + 222 Combine like terms: -222 + 222 = 0 0 + -40n = -62 + 222 -40n = -62 + 222 Combine like terms: -62 + 222 = 160 -40n = 160 Divide each side by '-40'. n = -4 Simplifying n = -4
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