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Simplifying 8(j + -7) = 3[1 + (j + 4)] Reorder the terms: 8(-7 + j) = 3[1 + (j + 4)] (-7 * 8 + j * 8) = 3[1 + (j + 4)] (-56 + 8j) = 3[1 + (j + 4)] Reorder the terms: -56 + 8j = 3[1 + (4 + j)] Remove parenthesis around (4 + j) -56 + 8j = 3[1 + 4 + j] Combine like terms: 1 + 4 = 5 -56 + 8j = 3[5 + j] -56 + 8j = [5 * 3 + j * 3] -56 + 8j = [15 + 3j] Solving -56 + 8j = 15 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. -56 + 8j + -3j = 15 + 3j + -3j Combine like terms: 8j + -3j = 5j -56 + 5j = 15 + 3j + -3j Combine like terms: 3j + -3j = 0 -56 + 5j = 15 + 0 -56 + 5j = 15 Add '56' to each side of the equation. -56 + 56 + 5j = 15 + 56 Combine like terms: -56 + 56 = 0 0 + 5j = 15 + 56 5j = 15 + 56 Combine like terms: 15 + 56 = 71 5j = 71 Divide each side by '5'. j = 14.2 Simplifying j = 14.2
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