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Simplifying 3 + -6a + -21 = 3a + 10 + -2a Reorder the terms: 3 + -21 + -6a = 3a + 10 + -2a Combine like terms: 3 + -21 = -18 -18 + -6a = 3a + 10 + -2a Reorder the terms: -18 + -6a = 10 + 3a + -2a Combine like terms: 3a + -2a = 1a -18 + -6a = 10 + 1a Solving -18 + -6a = 10 + 1a 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. -18 + -6a + -1a = 10 + 1a + -1a Combine like terms: -6a + -1a = -7a -18 + -7a = 10 + 1a + -1a Combine like terms: 1a + -1a = 0 -18 + -7a = 10 + 0 -18 + -7a = 10 Add '18' to each side of the equation. -18 + 18 + -7a = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -7a = 10 + 18 -7a = 10 + 18 Combine like terms: 10 + 18 = 28 -7a = 28 Divide each side by '-7'. a = -4 Simplifying a = -4
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