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Simplifying 1000 = m + 50(3) + m + a Multiply 50 * 3 1000 = m + 150 + m + a Reorder the terms: 1000 = 150 + a + m + m Combine like terms: m + m = 2m 1000 = 150 + a + 2m Solving 1000 = 150 + a + 2m Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 1000 + -1a = 150 + a + -1a + 2m Combine like terms: a + -1a = 0 1000 + -1a = 150 + 0 + 2m 1000 + -1a = 150 + 2m Add '-1000' to each side of the equation. 1000 + -1000 + -1a = 150 + -1000 + 2m Combine like terms: 1000 + -1000 = 0 0 + -1a = 150 + -1000 + 2m -1a = 150 + -1000 + 2m Combine like terms: 150 + -1000 = -850 -1a = -850 + 2m Divide each side by '-1'. a = 850 + -2m Simplifying a = 850 + -2m
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