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Simplifying 3 + (5z + -4) = 7(-4 + -2) + 4 Reorder the terms: 3 + (-4 + 5z) = 7(-4 + -2) + 4 Remove parenthesis around (-4 + 5z) 3 + -4 + 5z = 7(-4 + -2) + 4 Combine like terms: 3 + -4 = -1 -1 + 5z = 7(-4 + -2) + 4 Combine like terms: -4 + -2 = -6 -1 + 5z = 7(-6) + 4 Multiply 7 * -6 -1 + 5z = -42 + 4 Combine like terms: -42 + 4 = -38 -1 + 5z = -38 Solving -1 + 5z = -38 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5z = -38 + 1 Combine like terms: -1 + 1 = 0 0 + 5z = -38 + 1 5z = -38 + 1 Combine like terms: -38 + 1 = -37 5z = -37 Divide each side by '5'. z = -7.4 Simplifying z = -7.4
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