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Simplifying 3(z + -2) + -1 = 4(z + -3) Reorder the terms: 3(-2 + z) + -1 = 4(z + -3) (-2 * 3 + z * 3) + -1 = 4(z + -3) (-6 + 3z) + -1 = 4(z + -3) Reorder the terms: -6 + -1 + 3z = 4(z + -3) Combine like terms: -6 + -1 = -7 -7 + 3z = 4(z + -3) Reorder the terms: -7 + 3z = 4(-3 + z) -7 + 3z = (-3 * 4 + z * 4) -7 + 3z = (-12 + 4z) Solving -7 + 3z = -12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -7 + 3z + -4z = -12 + 4z + -4z Combine like terms: 3z + -4z = -1z -7 + -1z = -12 + 4z + -4z Combine like terms: 4z + -4z = 0 -7 + -1z = -12 + 0 -7 + -1z = -12 Add '7' to each side of the equation. -7 + 7 + -1z = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -1z = -12 + 7 -1z = -12 + 7 Combine like terms: -12 + 7 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5
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