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Simplifying 4(j + -4) + -7(j + 5) = -81 Reorder the terms: 4(-4 + j) + -7(j + 5) = -81 (-4 * 4 + j * 4) + -7(j + 5) = -81 (-16 + 4j) + -7(j + 5) = -81 Reorder the terms: -16 + 4j + -7(5 + j) = -81 -16 + 4j + (5 * -7 + j * -7) = -81 -16 + 4j + (-35 + -7j) = -81 Reorder the terms: -16 + -35 + 4j + -7j = -81 Combine like terms: -16 + -35 = -51 -51 + 4j + -7j = -81 Combine like terms: 4j + -7j = -3j -51 + -3j = -81 Solving -51 + -3j = -81 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -3j = -81 + 51 Combine like terms: -51 + 51 = 0 0 + -3j = -81 + 51 -3j = -81 + 51 Combine like terms: -81 + 51 = -30 -3j = -30 Divide each side by '-3'. j = 10 Simplifying j = 10
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