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Simplifying 8(j + -3) = 8(y + 6) Reorder the terms: 8(-3 + j) = 8(y + 6) (-3 * 8 + j * 8) = 8(y + 6) (-24 + 8j) = 8(y + 6) Reorder the terms: -24 + 8j = 8(6 + y) -24 + 8j = (6 * 8 + y * 8) -24 + 8j = (48 + 8y) Solving -24 + 8j = 48 + 8y Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 8j = 48 + 24 + 8y Combine like terms: -24 + 24 = 0 0 + 8j = 48 + 24 + 8y 8j = 48 + 24 + 8y Combine like terms: 48 + 24 = 72 8j = 72 + 8y Divide each side by '8'. j = 9 + y Simplifying j = 9 + y
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