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Simplifying 6x + -12y + 16(-2) = -32 Multiply 16 * -2 6x + -12y + -32 = -32 Reorder the terms: -32 + 6x + -12y = -32 Add '32' to each side of the equation. -32 + 6x + 32 + -12y = -32 + 32 Reorder the terms: -32 + 32 + 6x + -12y = -32 + 32 Combine like terms: -32 + 32 = 0 0 + 6x + -12y = -32 + 32 6x + -12y = -32 + 32 Combine like terms: -32 + 32 = 0 6x + -12y = 0 Solving 6x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 6x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 6x + 0 = 0 + 12y 6x = 0 + 12y Remove the zero: 6x = 12y Divide each side by '6'. x = 2y Simplifying x = 2y
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