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Simplifying 37 + -10(4n + 4) = 5(7n + 3) + -48n Reorder the terms: 37 + -10(4 + 4n) = 5(7n + 3) + -48n 37 + (4 * -10 + 4n * -10) = 5(7n + 3) + -48n 37 + (-40 + -40n) = 5(7n + 3) + -48n Combine like terms: 37 + -40 = -3 -3 + -40n = 5(7n + 3) + -48n Reorder the terms: -3 + -40n = 5(3 + 7n) + -48n -3 + -40n = (3 * 5 + 7n * 5) + -48n -3 + -40n = (15 + 35n) + -48n Combine like terms: 35n + -48n = -13n -3 + -40n = 15 + -13n Solving -3 + -40n = 15 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. -3 + -40n + 13n = 15 + -13n + 13n Combine like terms: -40n + 13n = -27n -3 + -27n = 15 + -13n + 13n Combine like terms: -13n + 13n = 0 -3 + -27n = 15 + 0 -3 + -27n = 15 Add '3' to each side of the equation. -3 + 3 + -27n = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -27n = 15 + 3 -27n = 15 + 3 Combine like terms: 15 + 3 = 18 -27n = 18 Divide each side by '-27'. n = -0.6666666667 Simplifying n = -0.6666666667
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