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Simplifying 2(j + -8) + 7 = 5(j + 2) + -3j + -19 Reorder the terms: 2(-8 + j) + 7 = 5(j + 2) + -3j + -19 (-8 * 2 + j * 2) + 7 = 5(j + 2) + -3j + -19 (-16 + 2j) + 7 = 5(j + 2) + -3j + -19 Reorder the terms: -16 + 7 + 2j = 5(j + 2) + -3j + -19 Combine like terms: -16 + 7 = -9 -9 + 2j = 5(j + 2) + -3j + -19 Reorder the terms: -9 + 2j = 5(2 + j) + -3j + -19 -9 + 2j = (2 * 5 + j * 5) + -3j + -19 -9 + 2j = (10 + 5j) + -3j + -19 Reorder the terms: -9 + 2j = 10 + -19 + 5j + -3j Combine like terms: 10 + -19 = -9 -9 + 2j = -9 + 5j + -3j Combine like terms: 5j + -3j = 2j -9 + 2j = -9 + 2j Add '9' to each side of the equation. -9 + 9 + 2j = -9 + 9 + 2j Combine like terms: -9 + 9 = 0 0 + 2j = -9 + 9 + 2j 2j = -9 + 9 + 2j Combine like terms: -9 + 9 = 0 2j = 0 + 2j 2j = 2j Add '-2j' to each side of the equation. 2j + -2j = 2j + -2j Combine like terms: 2j + -2j = 0 0 = 2j + -2j Combine like terms: 2j + -2j = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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