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Simplifying 2(j + 11) = -5(10 + -2) Reorder the terms: 2(11 + j) = -5(10 + -2) (11 * 2 + j * 2) = -5(10 + -2) (22 + 2j) = -5(10 + -2) Combine like terms: 10 + -2 = 8 22 + 2j = -5(8) Multiply -5 * 8 22 + 2j = -40 Solving 22 + 2j = -40 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2j = -40 + -22 Combine like terms: 22 + -22 = 0 0 + 2j = -40 + -22 2j = -40 + -22 Combine like terms: -40 + -22 = -62 2j = -62 Divide each side by '2'. j = -31 Simplifying j = -31
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