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Simplifying 4t + 7 = 6t + -33 Reorder the terms: 7 + 4t = 6t + -33 Reorder the terms: 7 + 4t = -33 + 6t Solving 7 + 4t = -33 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 7 + 4t + -6t = -33 + 6t + -6t Combine like terms: 4t + -6t = -2t 7 + -2t = -33 + 6t + -6t Combine like terms: 6t + -6t = 0 7 + -2t = -33 + 0 7 + -2t = -33 Add '-7' to each side of the equation. 7 + -7 + -2t = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -2t = -33 + -7 -2t = -33 + -7 Combine like terms: -33 + -7 = -40 -2t = -40 Divide each side by '-2'. t = 20 Simplifying t = 20
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