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Simplifying 5a + -6m + x + 12y = 10 Solving 5a + -6m + x + 12y = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6m' to each side of the equation. 5a + -6m + x + 6m + 12y = 10 + 6m Reorder the terms: 5a + -6m + 6m + x + 12y = 10 + 6m Combine like terms: -6m + 6m = 0 5a + 0 + x + 12y = 10 + 6m 5a + x + 12y = 10 + 6m Add '-1x' to each side of the equation. 5a + x + -1x + 12y = 10 + 6m + -1x Combine like terms: x + -1x = 0 5a + 0 + 12y = 10 + 6m + -1x 5a + 12y = 10 + 6m + -1x Add '-12y' to each side of the equation. 5a + 12y + -12y = 10 + 6m + -1x + -12y Combine like terms: 12y + -12y = 0 5a + 0 = 10 + 6m + -1x + -12y 5a = 10 + 6m + -1x + -12y Divide each side by '5'. a = 2 + 1.2m + -0.2x + -2.4y Simplifying a = 2 + 1.2m + -0.2x + -2.4y
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