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Simplifying 4(j + -2) + 3(j + -1) = 17 Reorder the terms: 4(-2 + j) + 3(j + -1) = 17 (-2 * 4 + j * 4) + 3(j + -1) = 17 (-8 + 4j) + 3(j + -1) = 17 Reorder the terms: -8 + 4j + 3(-1 + j) = 17 -8 + 4j + (-1 * 3 + j * 3) = 17 -8 + 4j + (-3 + 3j) = 17 Reorder the terms: -8 + -3 + 4j + 3j = 17 Combine like terms: -8 + -3 = -11 -11 + 4j + 3j = 17 Combine like terms: 4j + 3j = 7j -11 + 7j = 17 Solving -11 + 7j = 17 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7j = 17 + 11 Combine like terms: -11 + 11 = 0 0 + 7j = 17 + 11 7j = 17 + 11 Combine like terms: 17 + 11 = 28 7j = 28 Divide each side by '7'. j = 4 Simplifying j = 4
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