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Simplifying 3.40 + 1.19 + 0.15a = 4.99 + 0.10a Combine like terms: 3.40 + 1.19 = 4.59 4.59 + 0.15a = 4.99 + 0.10a Solving 4.59 + 0.15a = 4.99 + 0.10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.10a' to each side of the equation. 4.59 + 0.15a + -0.10a = 4.99 + 0.10a + -0.10a Combine like terms: 0.15a + -0.10a = 0.05a 4.59 + 0.05a = 4.99 + 0.10a + -0.10a Combine like terms: 0.10a + -0.10a = 0.00 4.59 + 0.05a = 4.99 + 0.00 4.59 + 0.05a = 4.99 Add '-4.59' to each side of the equation. 4.59 + -4.59 + 0.05a = 4.99 + -4.59 Combine like terms: 4.59 + -4.59 = 0.00 0.00 + 0.05a = 4.99 + -4.59 0.05a = 4.99 + -4.59 Combine like terms: 4.99 + -4.59 = 0.4 0.05a = 0.4 Divide each side by '0.05'. a = 8 Simplifying a = 8
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