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Simplifying -6(j + 8) = -4j + -48 Reorder the terms: -6(8 + j) = -4j + -48 (8 * -6 + j * -6) = -4j + -48 (-48 + -6j) = -4j + -48 Reorder the terms: -48 + -6j = -48 + -4j Add '48' to each side of the equation. -48 + 48 + -6j = -48 + 48 + -4j Combine like terms: -48 + 48 = 0 0 + -6j = -48 + 48 + -4j -6j = -48 + 48 + -4j Combine like terms: -48 + 48 = 0 -6j = 0 + -4j -6j = -4j Solving -6j = -4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '4j' to each side of the equation. -6j + 4j = -4j + 4j Combine like terms: -6j + 4j = -2j -2j = -4j + 4j Combine like terms: -4j + 4j = 0 -2j = 0 Divide each side by '-2'. j = 0 Simplifying j = 0
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