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Simplifying 3j + -1(j + -4) + 3 = 7 + 2d Reorder the terms: 3j + -1(-4 + j) + 3 = 7 + 2d 3j + (-4 * -1 + j * -1) + 3 = 7 + 2d 3j + (4 + -1j) + 3 = 7 + 2d Reorder the terms: 4 + 3 + 3j + -1j = 7 + 2d Combine like terms: 4 + 3 = 7 7 + 3j + -1j = 7 + 2d Combine like terms: 3j + -1j = 2j 7 + 2j = 7 + 2d Add '-7' to each side of the equation. 7 + -7 + 2j = 7 + -7 + 2d Combine like terms: 7 + -7 = 0 0 + 2j = 7 + -7 + 2d 2j = 7 + -7 + 2d Combine like terms: 7 + -7 = 0 2j = 0 + 2d 2j = 2d Solving 2j = 2d Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Divide each side by '2'. j = d Simplifying j = d
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