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Simplifying -2(10x + 8z) + 5(3y + -10y) = 0 (10x * -2 + 8z * -2) + 5(3y + -10y) = 0 (-20x + -16z) + 5(3y + -10y) = 0 Combine like terms: 3y + -10y = -7y -20x + -16z + 5(-7y) = 0 Remove parenthesis around (-7y) -20x + -16z + 5 * -7y = 0 Multiply 5 * -7 -20x + -16z + -35y = 0 Reorder the terms: -20x + -35y + -16z = 0 Solving -20x + -35y + -16z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35y' to each side of the equation. -20x + -35y + 35y + -16z = 0 + 35y Combine like terms: -35y + 35y = 0 -20x + 0 + -16z = 0 + 35y -20x + -16z = 0 + 35y Remove the zero: -20x + -16z = 35y Add '16z' to each side of the equation. -20x + -16z + 16z = 35y + 16z Combine like terms: -16z + 16z = 0 -20x + 0 = 35y + 16z -20x = 35y + 16z Divide each side by '-20'. x = -1.75y + -0.8z Simplifying x = -1.75y + -0.8z
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