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Simplifying 10a + -1 = 2a + -24 Reorder the terms: -1 + 10a = 2a + -24 Reorder the terms: -1 + 10a = -24 + 2a Solving -1 + 10a = -24 + 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. -1 + 10a + -2a = -24 + 2a + -2a Combine like terms: 10a + -2a = 8a -1 + 8a = -24 + 2a + -2a Combine like terms: 2a + -2a = 0 -1 + 8a = -24 + 0 -1 + 8a = -24 Add '1' to each side of the equation. -1 + 1 + 8a = -24 + 1 Combine like terms: -1 + 1 = 0 0 + 8a = -24 + 1 8a = -24 + 1 Combine like terms: -24 + 1 = -23 8a = -23 Divide each side by '8'. a = -2.875 Simplifying a = -2.875
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