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Simplifying -152 = 4(4n + -8) + -8 Reorder the terms: -152 = 4(-8 + 4n) + -8 -152 = (-8 * 4 + 4n * 4) + -8 -152 = (-32 + 16n) + -8 Reorder the terms: -152 = -32 + -8 + 16n Combine like terms: -32 + -8 = -40 -152 = -40 + 16n Solving -152 = -40 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -152 + -16n = -40 + 16n + -16n Combine like terms: 16n + -16n = 0 -152 + -16n = -40 + 0 -152 + -16n = -40 Add '152' to each side of the equation. -152 + 152 + -16n = -40 + 152 Combine like terms: -152 + 152 = 0 0 + -16n = -40 + 152 -16n = -40 + 152 Combine like terms: -40 + 152 = 112 -16n = 112 Divide each side by '-16'. n = -7 Simplifying n = -7
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