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Simplifying 6(z + -2) + 3 = z + -15 Reorder the terms: 6(-2 + z) + 3 = z + -15 (-2 * 6 + z * 6) + 3 = z + -15 (-12 + 6z) + 3 = z + -15 Reorder the terms: -12 + 3 + 6z = z + -15 Combine like terms: -12 + 3 = -9 -9 + 6z = z + -15 Reorder the terms: -9 + 6z = -15 + z Solving -9 + 6z = -15 + z 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. -9 + 6z + -1z = -15 + z + -1z Combine like terms: 6z + -1z = 5z -9 + 5z = -15 + z + -1z Combine like terms: z + -1z = 0 -9 + 5z = -15 + 0 -9 + 5z = -15 Add '9' to each side of the equation. -9 + 9 + 5z = -15 + 9 Combine like terms: -9 + 9 = 0 0 + 5z = -15 + 9 5z = -15 + 9 Combine like terms: -15 + 9 = -6 5z = -6 Divide each side by '5'. z = -1.2 Simplifying z = -1.2
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