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Simplifying 4a + 1 = 6a + -15 Reorder the terms: 1 + 4a = 6a + -15 Reorder the terms: 1 + 4a = -15 + 6a Solving 1 + 4a = -15 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 1 + 4a + -6a = -15 + 6a + -6a Combine like terms: 4a + -6a = -2a 1 + -2a = -15 + 6a + -6a Combine like terms: 6a + -6a = 0 1 + -2a = -15 + 0 1 + -2a = -15 Add '-1' to each side of the equation. 1 + -1 + -2a = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = -15 + -1 -2a = -15 + -1 Combine like terms: -15 + -1 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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