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Simplifying -25 + -5n = -6 + 6(3n + -7) Reorder the terms: -25 + -5n = -6 + 6(-7 + 3n) -25 + -5n = -6 + (-7 * 6 + 3n * 6) -25 + -5n = -6 + (-42 + 18n) Combine like terms: -6 + -42 = -48 -25 + -5n = -48 + 18n Solving -25 + -5n = -48 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -25 + -5n + -18n = -48 + 18n + -18n Combine like terms: -5n + -18n = -23n -25 + -23n = -48 + 18n + -18n Combine like terms: 18n + -18n = 0 -25 + -23n = -48 + 0 -25 + -23n = -48 Add '25' to each side of the equation. -25 + 25 + -23n = -48 + 25 Combine like terms: -25 + 25 = 0 0 + -23n = -48 + 25 -23n = -48 + 25 Combine like terms: -48 + 25 = -23 -23n = -23 Divide each side by '-23'. n = 1 Simplifying n = 1
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