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Simplifying 2(j + -5) = 5(4j + 1) Reorder the terms: 2(-5 + j) = 5(4j + 1) (-5 * 2 + j * 2) = 5(4j + 1) (-10 + 2j) = 5(4j + 1) Reorder the terms: -10 + 2j = 5(1 + 4j) -10 + 2j = (1 * 5 + 4j * 5) -10 + 2j = (5 + 20j) Solving -10 + 2j = 5 + 20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-20j' to each side of the equation. -10 + 2j + -20j = 5 + 20j + -20j Combine like terms: 2j + -20j = -18j -10 + -18j = 5 + 20j + -20j Combine like terms: 20j + -20j = 0 -10 + -18j = 5 + 0 -10 + -18j = 5 Add '10' to each side of the equation. -10 + 10 + -18j = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -18j = 5 + 10 -18j = 5 + 10 Combine like terms: 5 + 10 = 15 -18j = 15 Divide each side by '-18'. j = -0.8333333333 Simplifying j = -0.8333333333
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