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Simplifying -222 = -5 + -7(4n + 7) Reorder the terms: -222 = -5 + -7(7 + 4n) -222 = -5 + (7 * -7 + 4n * -7) -222 = -5 + (-49 + -28n) Combine like terms: -5 + -49 = -54 -222 = -54 + -28n Solving -222 = -54 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -222 + 28n = -54 + -28n + 28n Combine like terms: -28n + 28n = 0 -222 + 28n = -54 + 0 -222 + 28n = -54 Add '222' to each side of the equation. -222 + 222 + 28n = -54 + 222 Combine like terms: -222 + 222 = 0 0 + 28n = -54 + 222 28n = -54 + 222 Combine like terms: -54 + 222 = 168 28n = 168 Divide each side by '28'. n = 6 Simplifying n = 6
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