5(2t-3)-4(2v-7)=26

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Solution for 5(2t-3)-4(2v-7)=26 equation:


Simplifying
5(2t + -3) + -4(2v + -7) = 26

Reorder the terms:
5(-3 + 2t) + -4(2v + -7) = 26
(-3 * 5 + 2t * 5) + -4(2v + -7) = 26
(-15 + 10t) + -4(2v + -7) = 26

Reorder the terms:
-15 + 10t + -4(-7 + 2v) = 26
-15 + 10t + (-7 * -4 + 2v * -4) = 26
-15 + 10t + (28 + -8v) = 26

Reorder the terms:
-15 + 28 + 10t + -8v = 26

Combine like terms: -15 + 28 = 13
13 + 10t + -8v = 26

Solving
13 + 10t + -8v = 26

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + 10t + -13 + -8v = 26 + -13

Reorder the terms:
13 + -13 + 10t + -8v = 26 + -13

Combine like terms: 13 + -13 = 0
0 + 10t + -8v = 26 + -13
10t + -8v = 26 + -13

Combine like terms: 26 + -13 = 13
10t + -8v = 13

Add '8v' to each side of the equation.
10t + -8v + 8v = 13 + 8v

Combine like terms: -8v + 8v = 0
10t + 0 = 13 + 8v
10t = 13 + 8v

Divide each side by '10'.
t = 1.3 + 0.8v

Simplifying
t = 1.3 + 0.8v

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