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Simplifying 4t + 7 + 6a = -33 Reorder the terms: 7 + 6a + 4t = -33 Solving 7 + 6a + 4t = -33 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6a + -7 + 4t = -33 + -7 Reorder the terms: 7 + -7 + 6a + 4t = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 6a + 4t = -33 + -7 6a + 4t = -33 + -7 Combine like terms: -33 + -7 = -40 6a + 4t = -40 Add '-4t' to each side of the equation. 6a + 4t + -4t = -40 + -4t Combine like terms: 4t + -4t = 0 6a + 0 = -40 + -4t 6a = -40 + -4t Divide each side by '6'. a = -6.666666667 + -0.6666666667t Simplifying a = -6.666666667 + -0.6666666667t
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