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Simplifying 6(n + -8) + 3n = -36 + -1(n + 22) Reorder the terms: 6(-8 + n) + 3n = -36 + -1(n + 22) (-8 * 6 + n * 6) + 3n = -36 + -1(n + 22) (-48 + 6n) + 3n = -36 + -1(n + 22) Combine like terms: 6n + 3n = 9n -48 + 9n = -36 + -1(n + 22) Reorder the terms: -48 + 9n = -36 + -1(22 + n) -48 + 9n = -36 + (22 * -1 + n * -1) -48 + 9n = -36 + (-22 + -1n) Combine like terms: -36 + -22 = -58 -48 + 9n = -58 + -1n Solving -48 + 9n = -58 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -48 + 9n + n = -58 + -1n + n Combine like terms: 9n + n = 10n -48 + 10n = -58 + -1n + n Combine like terms: -1n + n = 0 -48 + 10n = -58 + 0 -48 + 10n = -58 Add '48' to each side of the equation. -48 + 48 + 10n = -58 + 48 Combine like terms: -48 + 48 = 0 0 + 10n = -58 + 48 10n = -58 + 48 Combine like terms: -58 + 48 = -10 10n = -10 Divide each side by '10'. n = -1 Simplifying n = -1
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