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Simplifying 5(j + -3) = 10(j + -2) Reorder the terms: 5(-3 + j) = 10(j + -2) (-3 * 5 + j * 5) = 10(j + -2) (-15 + 5j) = 10(j + -2) Reorder the terms: -15 + 5j = 10(-2 + j) -15 + 5j = (-2 * 10 + j * 10) -15 + 5j = (-20 + 10j) Solving -15 + 5j = -20 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. -15 + 5j + -10j = -20 + 10j + -10j Combine like terms: 5j + -10j = -5j -15 + -5j = -20 + 10j + -10j Combine like terms: 10j + -10j = 0 -15 + -5j = -20 + 0 -15 + -5j = -20 Add '15' to each side of the equation. -15 + 15 + -5j = -20 + 15 Combine like terms: -15 + 15 = 0 0 + -5j = -20 + 15 -5j = -20 + 15 Combine like terms: -20 + 15 = -5 -5j = -5 Divide each side by '-5'. j = 1 Simplifying j = 1
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