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Simplifying 3z + -1(5z + 7) = 7 + (1z + 0) Reorder the terms: 3z + -1(7 + 5z) = 7 + (1z + 0) 3z + (7 * -1 + 5z * -1) = 7 + (1z + 0) 3z + (-7 + -5z) = 7 + (1z + 0) Reorder the terms: -7 + 3z + -5z = 7 + (1z + 0) Combine like terms: 3z + -5z = -2z -7 + -2z = 7 + (1z + 0) Reorder the terms: -7 + -2z = 7 + (0 + 1z) Remove the zero: -7 + -2z = 7 + (1z) -7 + -2z = 7 + (1z) Solving -7 + -2z = 7 + (1z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-1z)' to each side of the equation. -7 + -2z + (-1z) = 7 + (1z) + (-1z) Combine like terms: -2z + (-1z) = -3z -7 + -3z = 7 + (1z) + (-1z) Combine like terms: (1z) + (-1z) = 0 -7 + -3z = 7 + 0 -7 + -3z = 7 Add '7' to each side of the equation. -7 + 7 + -3z = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -3z = 7 + 7 -3z = 7 + 7 Combine like terms: 7 + 7 = 14 -3z = 14 Divide each side by '-3'. z = -4.666666667 Simplifying z = -4.666666667
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