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Simplifying a + -16 + -2a = a + -21 + 3a Reorder the terms: -16 + a + -2a = a + -21 + 3a Combine like terms: a + -2a = -1a -16 + -1a = a + -21 + 3a Reorder the terms: -16 + -1a = -21 + a + 3a Combine like terms: a + 3a = 4a -16 + -1a = -21 + 4a Solving -16 + -1a = -21 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -16 + -1a + -4a = -21 + 4a + -4a Combine like terms: -1a + -4a = -5a -16 + -5a = -21 + 4a + -4a Combine like terms: 4a + -4a = 0 -16 + -5a = -21 + 0 -16 + -5a = -21 Add '16' to each side of the equation. -16 + 16 + -5a = -21 + 16 Combine like terms: -16 + 16 = 0 0 + -5a = -21 + 16 -5a = -21 + 16 Combine like terms: -21 + 16 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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