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Simplifying 30a + -6 = 6(30a + -1) Reorder the terms: -6 + 30a = 6(30a + -1) Reorder the terms: -6 + 30a = 6(-1 + 30a) -6 + 30a = (-1 * 6 + 30a * 6) -6 + 30a = (-6 + 180a) Add '6' to each side of the equation. -6 + 6 + 30a = -6 + 6 + 180a Combine like terms: -6 + 6 = 0 0 + 30a = -6 + 6 + 180a 30a = -6 + 6 + 180a Combine like terms: -6 + 6 = 0 30a = 0 + 180a 30a = 180a Solving 30a = 180a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-180a' to each side of the equation. 30a + -180a = 180a + -180a Combine like terms: 30a + -180a = -150a -150a = 180a + -180a Combine like terms: 180a + -180a = 0 -150a = 0 Divide each side by '-150'. a = 0 Simplifying a = 0
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