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Simplifying 4a + -10 = 9a + -55 Reorder the terms: -10 + 4a = 9a + -55 Reorder the terms: -10 + 4a = -55 + 9a Solving -10 + 4a = -55 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -10 + 4a + -9a = -55 + 9a + -9a Combine like terms: 4a + -9a = -5a -10 + -5a = -55 + 9a + -9a Combine like terms: 9a + -9a = 0 -10 + -5a = -55 + 0 -10 + -5a = -55 Add '10' to each side of the equation. -10 + 10 + -5a = -55 + 10 Combine like terms: -10 + 10 = 0 0 + -5a = -55 + 10 -5a = -55 + 10 Combine like terms: -55 + 10 = -45 -5a = -45 Divide each side by '-5'. a = 9 Simplifying a = 9
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