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Simplifying -8.7 + -3z + -4.9 + -1z = 3z + 10.5 Reorder the terms: -8.7 + -4.9 + -3z + -1z = 3z + 10.5 Combine like terms: -8.7 + -4.9 = -13.6 -13.6 + -3z + -1z = 3z + 10.5 Combine like terms: -3z + -1z = -4z -13.6 + -4z = 3z + 10.5 Reorder the terms: -13.6 + -4z = 10.5 + 3z Solving -13.6 + -4z = 10.5 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -13.6 + -4z + -3z = 10.5 + 3z + -3z Combine like terms: -4z + -3z = -7z -13.6 + -7z = 10.5 + 3z + -3z Combine like terms: 3z + -3z = 0 -13.6 + -7z = 10.5 + 0 -13.6 + -7z = 10.5 Add '13.6' to each side of the equation. -13.6 + 13.6 + -7z = 10.5 + 13.6 Combine like terms: -13.6 + 13.6 = 0.0 0.0 + -7z = 10.5 + 13.6 -7z = 10.5 + 13.6 Combine like terms: 10.5 + 13.6 = 24.1 -7z = 24.1 Divide each side by '-7'. z = -3.442857143 Simplifying z = -3.442857143
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