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Simplifying 6a + -15 + -2a = 2(-2a + -4) + -7 Reorder the terms: -15 + 6a + -2a = 2(-2a + -4) + -7 Combine like terms: 6a + -2a = 4a -15 + 4a = 2(-2a + -4) + -7 Reorder the terms: -15 + 4a = 2(-4 + -2a) + -7 -15 + 4a = (-4 * 2 + -2a * 2) + -7 -15 + 4a = (-8 + -4a) + -7 Reorder the terms: -15 + 4a = -8 + -7 + -4a Combine like terms: -8 + -7 = -15 -15 + 4a = -15 + -4a Add '15' to each side of the equation. -15 + 15 + 4a = -15 + 15 + -4a Combine like terms: -15 + 15 = 0 0 + 4a = -15 + 15 + -4a 4a = -15 + 15 + -4a Combine like terms: -15 + 15 = 0 4a = 0 + -4a 4a = -4a Solving 4a = -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. 4a + 4a = -4a + 4a Combine like terms: 4a + 4a = 8a 8a = -4a + 4a Combine like terms: -4a + 4a = 0 8a = 0 Divide each side by '8'. a = 0 Simplifying a = 0
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