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Simplifying 4.5a + 3 + -4 + -1.75 = 3a + -2.9 Reorder the terms: 3 + -4 + -1.75 + 4.5a = 3a + -2.9 Combine like terms: 3 + -4 = -1 -1 + -1.75 + 4.5a = 3a + -2.9 Combine like terms: -1 + -1.75 = -2.75 -2.75 + 4.5a = 3a + -2.9 Reorder the terms: -2.75 + 4.5a = -2.9 + 3a Solving -2.75 + 4.5a = -2.9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -2.75 + 4.5a + -3a = -2.9 + 3a + -3a Combine like terms: 4.5a + -3a = 1.5a -2.75 + 1.5a = -2.9 + 3a + -3a Combine like terms: 3a + -3a = 0 -2.75 + 1.5a = -2.9 + 0 -2.75 + 1.5a = -2.9 Add '2.75' to each side of the equation. -2.75 + 2.75 + 1.5a = -2.9 + 2.75 Combine like terms: -2.75 + 2.75 = 0.00 0.00 + 1.5a = -2.9 + 2.75 1.5a = -2.9 + 2.75 Combine like terms: -2.9 + 2.75 = -0.15 1.5a = -0.15 Divide each side by '1.5'. a = -0.1 Simplifying a = -0.1
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