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Simplifying (z + 2) * 2 + (z + -3) * 2 = 2(z + 4) * 2 + -1 Reorder the terms: (2 + z) * 2 + (z + -3) * 2 = 2(z + 4) * 2 + -1 Reorder the terms for easier multiplication: 2(2 + z) + (z + -3) * 2 = 2(z + 4) * 2 + -1 (2 * 2 + z * 2) + (z + -3) * 2 = 2(z + 4) * 2 + -1 (4 + 2z) + (z + -3) * 2 = 2(z + 4) * 2 + -1 Reorder the terms: 4 + 2z + (-3 + z) * 2 = 2(z + 4) * 2 + -1 Reorder the terms for easier multiplication: 4 + 2z + 2(-3 + z) = 2(z + 4) * 2 + -1 4 + 2z + (-3 * 2 + z * 2) = 2(z + 4) * 2 + -1 4 + 2z + (-6 + 2z) = 2(z + 4) * 2 + -1 Reorder the terms: 4 + -6 + 2z + 2z = 2(z + 4) * 2 + -1 Combine like terms: 4 + -6 = -2 -2 + 2z + 2z = 2(z + 4) * 2 + -1 Combine like terms: 2z + 2z = 4z -2 + 4z = 2(z + 4) * 2 + -1 Reorder the terms: -2 + 4z = 2(4 + z) * 2 + -1 Reorder the terms for easier multiplication: -2 + 4z = 2 * 2(4 + z) + -1 Multiply 2 * 2 -2 + 4z = 4(4 + z) + -1 -2 + 4z = (4 * 4 + z * 4) + -1 -2 + 4z = (16 + 4z) + -1 Reorder the terms: -2 + 4z = 16 + -1 + 4z Combine like terms: 16 + -1 = 15 -2 + 4z = 15 + 4z Add '-4z' to each side of the equation. -2 + 4z + -4z = 15 + 4z + -4z Combine like terms: 4z + -4z = 0 -2 + 0 = 15 + 4z + -4z -2 = 15 + 4z + -4z Combine like terms: 4z + -4z = 0 -2 = 15 + 0 -2 = 15 Solving -2 = 15 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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