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Simplifying a * 8 + -126 = a * 2 + -12 Reorder the terms for easier multiplication: 8a + -126 = a * 2 + -12 Reorder the terms: -126 + 8a = a * 2 + -12 Reorder the terms for easier multiplication: -126 + 8a = 2a + -12 Reorder the terms: -126 + 8a = -12 + 2a Solving -126 + 8a = -12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -126 + 8a + -2a = -12 + 2a + -2a Combine like terms: 8a + -2a = 6a -126 + 6a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -126 + 6a = -12 + 0 -126 + 6a = -12 Add '126' to each side of the equation. -126 + 126 + 6a = -12 + 126 Combine like terms: -126 + 126 = 0 0 + 6a = -12 + 126 6a = -12 + 126 Combine like terms: -12 + 126 = 114 6a = 114 Divide each side by '6'. a = 19 Simplifying a = 19
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