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Simplifying -53 = 6(n + -5) + -1(n + 3) Reorder the terms: -53 = 6(-5 + n) + -1(n + 3) -53 = (-5 * 6 + n * 6) + -1(n + 3) -53 = (-30 + 6n) + -1(n + 3) Reorder the terms: -53 = -30 + 6n + -1(3 + n) -53 = -30 + 6n + (3 * -1 + n * -1) -53 = -30 + 6n + (-3 + -1n) Reorder the terms: -53 = -30 + -3 + 6n + -1n Combine like terms: -30 + -3 = -33 -53 = -33 + 6n + -1n Combine like terms: 6n + -1n = 5n -53 = -33 + 5n Solving -53 = -33 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -53 + -5n = -33 + 5n + -5n Combine like terms: 5n + -5n = 0 -53 + -5n = -33 + 0 -53 + -5n = -33 Add '53' to each side of the equation. -53 + 53 + -5n = -33 + 53 Combine like terms: -53 + 53 = 0 0 + -5n = -33 + 53 -5n = -33 + 53 Combine like terms: -33 + 53 = 20 -5n = 20 Divide each side by '-5'. n = -4 Simplifying n = -4
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